Answer
Power rule of a polynomial function:
$p(x)=a_{n}x^n+a_{n-1}x^{(n-1)}+......+a_{0}$
$p'(x)=na_{n}x^{(n-1)}+(n-1)(a_{n-1}x^{(n-2)})+...+(a_{1})$
Work Step by Step
Given the following polynomial function:
$p(x)=a_{n}x^n+a_{n-1}x^{(n-1)}+......+a_{0}$
We find the derivative using the power rule thus:
$p'(x)=na_{n}x^{(n-1)}+(n-1)(a_{n-1}x^{(n-2)})+...+(a_{1})$
In addition, we know the sum rule, product rule, quotient rule, etc.
