Question

In Problems 36 and 37, find the derivative of each function at the number indicated using a graphing utility.

$f\left(x\right)=x^3\tan \left(x\right)$at$\frac{\pi }{6}$

Short answer

The derivative of the function at$\frac{\pi }{6}$ is equal to$0.666$.

Step-by-step solution

Step 1. Given information

Given function is $f\left(x\right)=x^3\tan \left(x\right)$

Using a graphing utility we have to find the derivative of the given function at $\frac{\pi }{6}$.

Step 2. Finding the derivative using a graphing utility

To find the derivate, first, we have to enter the given function in the graphing calculator

We will find the derivative at $\frac{\mathrm{\pi }}{6}$using the derivative function.

Therefore$f\text{'}\left(x\right)=0.666$