Question

In Problems 33–42, use a graphing utility to find the derivative of each function at the given number.
$f\left(x\right)=e^{-x}\sin x$at$2$

Short answer

Derivative of $f\left(x\right)=e^{-x}\sin x$at role="math" localid="1647022851637" $x=2$is$f\text{'}\left(2\right)\approx -0.1794$

Step-by-step solution

Step 1. Given information

Given function is

$f\left(x\right)=e^{-x}\sin x$

and$x=2$

Step 2. Derivative

Enter the function $f\left(x\right)=e^{-x}\sin x$and $x=2$in the derivative function of the Plus graphing calculator

The graphing calculator shows that the derivative of the function is$f\text{'}\left(2\right)\approx -0.1794$