Question

attempt 1: 10 attempts remaining. use the rules of derivatives to calculate the derivative of the following function and simplify if possible. $f(t)=-7t^{6}$ $f(t)=$

Explanation:

Step1: Recall power - rule

The power - rule for derivatives states that if $y = ax^n$, then $y'=anx^{n - 1}$, where $a$ is a constant and $n$ is a real number.

Step2: Identify $a$ and $n$

For the function $f(t)=-7t^{6}$, we have $a=-7$ and $n = 6$.

Step3: Apply the power - rule

$f'(t)=(-7)\times6t^{6 - 1}$.

Step4: Simplify the expression

$f'(t)=-42t^{5}$.

Answer:

$-42t^{5}$