Question

attempt 4: 7 attempts remaining. use the rules of derivatives to calculate the derivative of the following function and simplify if possible. f(z)=7z f(z)=-7 show hint

Explanation:

Step1: Recall power - rule

The power - rule for differentiation states that if $y = ax^n$, then $y^\prime=anx^{n - 1}$. In the function $f(z)=7z$, we can rewrite it as $f(z)=7z^1$, where $a = 7$ and $n = 1$.

Step2: Apply power - rule

Using the power - rule $f^\prime(z)=7\times1\times z^{1 - 1}$.
Since $z^{1 - 1}=z^0 = 1$, then $f^\prime(z)=7$.

Answer:

$7$