Question

In Problems 33–42, use a graphing utility to find the derivative of each function at the given number.

$f\left(x\right)=3x^3-6x^2+2$at$-2$

Short answer

Derivative of $f\left(x\right)=3x^3-6x^2+2$at$-2$ is$f\text{'}(-2)=60$

Step-by-step solution

Step 1. Given information

Given function is

$f\left(x\right)=3x^3-6x^2+2$

and$x=-2$

Step 2. Derivative

Enter the function$f\left(x\right)=3x^3-6x^2+2$and limit $x=-2$in the derivative function of the graphing calculator

The graphing calculator shows that the derivative of the function at$-2$is $f\text{'}(-2)=60$