Question

attempt 1: 10 attempts remaining. use the rules of derivatives to calculate the derivative of the following function and simplify if possible. $f(x)=x^{8}$ $f(x)=$

Explanation:

Step1: Apply power - rule for derivatives

The power - rule states that if $y = x^n$, then $y^\prime=nx^{n - 1}$. Here $n = 8$ and $y=f(x)=x^8$.
$f^\prime(x)=8x^{8 - 1}$

Step2: Simplify the exponent

$f^\prime(x)=8x^{7}$

Answer:

$8x^{7}$