Question

In Problems 33–42, use a graphing utility to find the derivative of each function at the given number.
$f\left(x\right)=-5x^4+6x^2-10$at$5$

Short answer

Derivative of$f\left(x\right)=-5x^4+6x^2-10$at $5$is$f\text{'}\left(5\right)=-2440$

Step-by-step solution

Step 1. Given information

Given function is

$f\left(x\right)=-5x^4+6x^2-10$

and$x=5$

Step 2. Derivative

Enter the function $f\left(x\right)=-5x^4+6x^2-10$and limit$x=5$in the derivative function of the graphing calculator

The graphing calculator shows that the derivative of the function at $5$is$f\text{'}\left(5\right)=-2440$