Analysis
Grenzwerte, Ableitungen, Optimierung und Funktionsverhalten.
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if (x + 2xy - y^{2}=2), then at the point ((1,1)), (\frac{dy}{dx}) is
Undefined
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the table above gives values of f, f, g, and g for selected values of x…
$-14$
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if (y = sin^{3}x), then (\frac{dy}{dx}=)
$3\sin^{2}x\cos x$
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question 6(multiple choice worth 1 points) (08.01 mc) a farmer is track…
The crop yield decreased by 10 pounds per acre from year 10 to year 20.
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of partial fractions, compute int \frac{10x^{2}-8x - 6}{x(x + 2)(x - 3)…
$\ln|x|+5\ln|x + 2|+4\ln|x - 3|+C$
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8) over which interval is the total change of the function g(x) least? …
8) The interval where the total change of $g(x)$ is least is $[4,5]$. 9) The interval where $h(x)$ is guaranteed to be decreasing is $(5,7)$.
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evaluate the limit, if it exists. (if an answer does not exist, enter d…
$\frac{5}{13}$
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the table above gives values of f, f, g, and g for selected values of x…
A. 9
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if (x + 2xy - y^{2}=2), then at the point ((1,1)), (\frac{dy}{dx}) is a…
E. nonexistent
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d/dx{ln e^{2x}} = a 1/e^{2x} b 2/e^{2x} c 2x d 1 e 2
E. 2
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if $y = \\sin^{3}x$, then $\\frac{dy}{dx}=$ a $\\cos^{3}x$ b $3\\cos^{2…
D. $3\sin^{2}x\cos x$
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if (f(x)=(x^{2}-2x - 1)^{\frac{1}{3}}), then (f(0)) is (a) (\frac{4}{3}…
C. $-\frac{2}{3}$
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find the following limit. lim_{x ightarrow - 0.5^{+}}sqrt{\frac{x + 5}{…
\(\sqrt{3}\)
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which of the following is an equation of the line tangent to the graph …
E. $y + 3=\frac{11}{3}(x - 1)$
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ap precalculus name: elfidio mejía 9/22/25 quarter 1 week 5. this warm …
1. \(f(x)\) has an absolute maximum and no absolute minimum because it is a degree - 4 polynomial with a negative leading coefficient. 2. \(y\) - intercept: \(-6300\). Real zeros …
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compute $int\frac{x + 5}{x^{2}+9}dx$.
$\frac{1}{2}\ln|x^{2}+9|+\frac{5}{3}\arctan(\frac{x}{3})+C$
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let f be the function defined by f(x)=2x + e^x. if g(x)=f^(-1)(x) for a…
B. \(\frac{1}{3}\)
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if (x^{2}+y^{2}=25), what is the value of (\frac{dy}{dx}) at the point …
A. $-\frac{4}{3}$
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if y = (x^3 - cos x)^5 then y = a 5(x^3 - cos x)^4 b 5(3x^2 + sin x)^4 …
E. $5(x^{3}-\cos x)^{4}\cdot(3x^{2}+\sin x)$
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if y = cos²3x, then dy/dx= a -6 sin 3x cos 3x b -2 cos 3x c 2 cos 3x d …
A. $-6\sin 3x\cos 3x$
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free response questions: show all ) compute $int arctan x dx$.
$x\arctan x-\frac{1}{2}\ln(1 + x^{2})+C$
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if (f(x)=e^{(2/x)}), then (f(x)=) (a) (2e^{(2/x)}ln x) (b) (e^{(2/x)}) …
D. $-\frac{2}{x^{2}}e^{\frac{2}{x}}$
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if (f(x)=(e^{3x}+sin(2x))^{4}), then (f(x)=) (a) (4(3e^{3x}+2cos(2x))^{…
D. $4(e^{3x}+\sin(2x))^{3}(3e^{3x}+2\cos(2x))$
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1850s travelling north america in the 1850s, travelling across the brit…
1. Draw a route on the map as described above. 2. Long distances, rough seas, storms, lack of navigation aids, limited supplies, isolation. 3. Faster and more reliable transport, …
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let f be the function defined by f(x)=e^{h(x)}, where h is a differenti…
C. $h^{\prime}(x)e^{h(x)}$
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if y = cos x - ln(2x), then $\frac{d^{3}y}{dx^{3}}=$ a sin x - $\frac{2…
A. $\sin x-\frac{2}{x^{3}}$
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if f(x) = sin^(-1)x, then f((√3)/2) = a π/6 b π/3 c 4/7 d 2
D. 2
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if $f(x)=arccos(x^{2})$, then $f(x)=$ (a) $\frac{1}{sqrt{1 - x^{4}}}$ (…
B. $\frac{-2x}{\sqrt{1 - x^{4}}}$
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if (3x^{2}+2xy + y^{2}=1), then (\frac{dy}{dx}=) a (-\frac{3x + y}{y}) …
B. $-\frac{3x + y}{x + y}$
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question let f(x)=8x - 10 find f(4) using the definition of a derivativ…
$8$
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question find the slope of the tangent line to the graph of $f(x)=sqrt{…
$\frac{1}{6}$
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question find the slope of the tangent line to the graph of $f(x)=\frac…
$-\frac{2}{9}$
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question find the slope of the tangent line to the graph of (f(x)=3x^{2…
$3$
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question find the slope of the tangent line to the graph of (f(x)=-x - …
$-1$
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determine the following limit lim_{x ightarrowinfty}\frac{16x^{3}+5x^{2…
A. $\frac{2}{5}$
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question 3 which of the following best describes scarcity? a the unlimi…
B. The situation where resources are limited but a lot of people want it.
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let f(x) be defined as f(x)=x^{3}-7x^{2}+6x + 4. use the function f to …
a. $(\frac{7}{3},\infty)$ b. $(-\infty,\frac{7}{3})$ c. $(\frac{7}{3},f(\frac{7}{3}))$ where $f(\frac{7}{3})=(\frac{7}{3})^{3}-7(\frac{7}{3})^{2}+6\times\frac{7}{3}+4=\frac{343}{2…
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find an equation for the line that is tangent to the curve y = x^3 - 9x…
$18x + 54$
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1.5 formulas: problem 5 (1 point) let f(x)=x + 3. find and simplify: a)…
a) 8 b) 3 c) 2 d) $2a + 3$ e) $a + 5$
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the position s of a point (in feet) is given as a function of time t (i…
$\frac{1}{64}$
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find the intervals of concavity and inflection points. list all answers…
Concave up on: $(-\infty,\infty)$ Concave down on: NONE Inflection points $(x,y)$: $(-1,-1)$
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answer the following questions (6 - 10) for $f(x)=x^{3}-4x$. 6. sketch …
### 6. Sketch a graph of \(y = f(x)=x^{3}-4x\) - **Find the roots**: - Set \(y = 0\), then \(x^{3}-4x=x(x^{2} - 4)=x(x - 2)(x + 2)=0\). The roots are \(x=-2,0,2\). - Take the firs…
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consider the function f given below. f(x)=\frac{x^{2}-4}{x + 2} a) for …
a) $-2$ b) $1$
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the function $f(x)$ has a domain of $(-\\infty, \\infty)$ and a second …
\(x=-6,1\)
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a function is concave up and decreasing on an interval. what does this …
D. The slope is negative but increasing
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the function f(x) has a continuous second derivative, and it satisfies …
C. $f(x)$ has neither a local maximum nor a local minimum at $x = 3$.
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quotient rule: problem 3 (1 point) let $f(x)=\frac{-7x}{sin(x)+cos(x)}$…
$-7 + 14\pi$
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quotient rule: problem 2 (1 point) suppose the number of cd players a r…
$S(40)=\frac{800}{3}$ $S'(40)=\frac{4}{3}$
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quotient rule: problem 1 (1 point) suppose that $f(x)=\frac{x + 20}{e^{…
$\frac{-21}{e^{2}}$
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find f(x). f(x)=4x^{2}-15x - \frac{5}{x^{4}} f(x)=square
$8-\frac{100}{x^{6}}$
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product rule: problem 3 (1 point) let $f(t)=(t^{2}+6t + 5)(3t^{2}+2)$. …
$f^\prime(t)=12t^{3}+54t^{2}+34t + 12$ $f^\prime(3)=924$
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product rule: problem 2 (1 point) find the equation of the line that is…
$m=-3$ $b = 0$
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“poetry” is a 1919 poem by marianne moore. the poem highlights an ambiv…
D. "Reading [poetry], however, with a perfect contempt for it, one discovers that there is in it after all, a place for the genuine."
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63. graphical reasoning use a graphing utility to graph each function a…
For $f(x)=x^{2}$, the slopes of the tangent lines at $x=-1,0,1$ are distinct. For $g(x)=x^{3}$, the slopes of the tangent lines at $x=-1,0,1$ are not always distinct.
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text 1 efforts to automate classification of paintings into different a…
A. By emphasizing that there are still advances being made in automated artistic style classification
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read the quotations below from yann martels life of pi. match each one …
- "Some things cannot be understood through logic alone.": Theme of faith or the limits of rationality. - "Our observations shape reality.": Theme of subjective reality and percep…
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nate is a partner in a partnership that received $5,000 of interest inc…
C. Interest income
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find all horizontal asymptotes of the following function. f(x)=\frac{x^…
$y = \frac{1}{15}$
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find all horizontal asymptotes of the following function. f(x)=\frac{3x…
$y = 0$
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8. try again (you can click on a graph to enlarge it.) inflection point…
Inflection points at: $x = 1,3$ Interval where function is concave up: $(0,1),(3,5)$ Interval where function is concave down: $(1,3)$
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inflection points at: x = 1,3 (you can click on a graph to enlarge it.)…
Interval where function is concave down: \((1,3)\) Interval where function is concave up: \((0,1),(3,5)\) Inflection points at: \(x = 1,3\)
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drag the tiles to the boxes to complete the pairs. match the legal term…
copyright - the legal ownership of a creative work infringement - violating the legal rights of the creator or other copyright - holder of a creative work fair use - an exception …
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let f(x)=x^3 - 7x^2 + 5x - 1. find the open intervals on which f is con…
1. $(\frac{7}{3},\infty)$ 2. $(-\infty,\frac{7}{3})$ 3. $\frac{7}{3}$
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find all vertical asymptotes of the following function. f(x)=\frac{x^{2…
$x = 0$ and $x = 5$
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b. which limitations of gdp does this example highlight? o gdp ignores …
C. Nonmarket activities are excluded.
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sizing up the economy using gdp — end of chapter problem in 2010, 4.9 m…
It caused environmental degradation which negatively impacted GDP, whereas the spill response and cleanup created jobs, which positively impacted GDP.
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why do developing countries usually have less variety in their economic…
Limited access to education means that people are not trained to work in industry or technology.
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the function $f(x)$ has a domain of $(-\\infty, \\infty)$ and a second …
\(x = 1,-7\)
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sizing up the economy — end of chapter problem jeremiah expressed his d…
GDP is mainly an economic indicator. While it has limitations in measuring well - being as it omits important non - economic factors, it can be made more relevant to well - being …
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what are standards designed to do? check all that apply. protect consum…
protect consumers, ensure safety
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determine the intervals on which the graph of the function (g(t)=2t^{4}…
Concave up: $(-\infty,-3),(0,\infty)$ Concave down: $(-3,0)$
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question 3 of 5 danny is taking a road trip. after 36 miles, he reaches…
B. Danny may drive 300 miles in 5 hours.
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find the derivative of the following function g(x)=\frac{4x + 1}{sqrt{x…
$\frac{4x - 64\sqrt{x}-1}{2\sqrt{x}(\sqrt{x}-8)^2}$
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read the excerpt from an informative essay about globalization in china…
While manufacturing has led to...
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calculate the average rate of change for the function, $f(x)=3sqrt{x}+2…
$1$
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3.4 rates of change 1. suppose that you run a toy factory. the total co…
A. $R'(x)=10 - 0.0002x$, marginal revenue. B. $C'(x)=2$, marginal cost. C. $\frac{d}{dx}(R(x)-C(x))=-0.0002x + 8$, marginal profit. D. Positive when $x < 40000$, negative when $x …
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given the graph of f(x) below, list where the inflection point of occur…
Inflection points at: $x = 1,3$ Interval where function is concave up: $(0,1),(3,5)$ Interval where function is concave down: $(1,3)$
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given the graph of f(x) below, list where the inflection point of f occ…
Inflection points at: $x =$ <value from graph>, Interval where function is concave up: <concave - up interval>, Interval where function is concave down: <concave - down interval> …
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2 - complétez unlimited attempts left due september 23rd 11:59 pm compl…
1. Les étudiants mangent au resto U. 2. Hélène et moi, nous parlons français en classe. 3. Corinne étudie les mathématiques. 4. Vous adorez le chocolat. 5. Tu travailles à la bibl…
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consider the function f(x) graphed below. for this function, are the fo…
$f(0.5)$ is positive; $f'(0.5)$ is positive; $f''(0.5)$ is negative.
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find the derivative of the following function. s(w)=\frac{9w + 2}{sqrt{…
$\frac{9w + 108\sqrt{w}-2}{2\sqrt{w}(\sqrt{w}+6)^2}$
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suppose that a company introduces a new computer game in a city using t…
1.9
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which of these were included in the salt ii (strategic arms limitation …
a. a limit on the launchers for intercontinental ballistic missiles c. a limit on the number of missile launch sites around the globe
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if a function is concave down and increasing, what can we say about its…
B. The slope is positive but decreasing
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the function $f(x)$ has a continuous second derivative, and it satisfie…
A. $f(x)$ has a local minimum at $x = 4$.
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a ship carrying 1000 passengers is wrecked on a small island from which…
5770
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here is a graph of the function g. use the graph to find the following.…
All local maximum values of \(g\): \(0,3\) All values at which \(g\) has a local maximum: \(-2,1\)
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in 2004, an art collector paid $75,647,000 for a particular painting. t…
37085242 dollars per year
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between 2006 and 2016, the number of applications for patents, n, grew …
36161 applications per year
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between 2006 and 2016, the number of applications for patents, n, grew …
a) $N(t)=444000e^{0.044t}$ b) Approximately $821267$ c) Approximately $36147$
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find the general form of the function that satisfies $\frac{da}{dt}=8a$…
$A(t)=ke^{8t}$
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find the general form of f if f(x)= - 2f(x). f(x)= square
$f(x)=Ae^{-2x}$
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7. la direction de lécole demande le point de vue des élèves sur les cr…
a) Note moyenne, progression académique, participation active en classe, réussite dans des projets spécifiques. b) Note moyenne : reflète objectivement les connaissances. Progress…
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find the equation of the line tangent to the graph of f(x) = (ln x)^3 a…
$y\approx1.61x - 3.88$
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sketch the following curve, indicating all relative extreme points and …
We need to visually inspect the given graphs (not shown in detail here) and choose the one that has a local maximum at $(3,13)$, a local minimum at $(5,\frac{35}{3})$ and an infle…
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sketch the following curve, indicating all relative extreme points and …
$(4,\frac{37}{3})$
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sketch the following curve, indicating all relative extreme points and …
$(3,13),(5,\frac{35}{3})$
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10. selon vous, quels liens peut - on faire entre la justice et la tolé…
On peut établir des liens entre la justice et la tolérance en considérant que la tolérance doit être exercée dans les limites de la justice. La tolérance ne doit pas justifier des…
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a student is writing a feature article for the school yearbook about th…
A. Many clubs, like the Honor Society, participated in community service projects, fundraisers, and membership drives.
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for y = x^6 - 7x^3 + 6x, find $\frac{d^{5}y}{dx^{5}}$. $\frac{d^{5}y}{d…
$720x$