Question

Verify that the function satisfies the three hypothesis of Rolle's theorem over the interval
[-6,0]. Then find all numbers that satisfy the conclusion of the Rolle's Theorem.

f(x)= x*sqrt(x+6)

Answer 1

First you have to make sure that f(-6)=f(0). That's pretty easy.

Then you want to find the points where the slope is 0. So find the derivative, set it equal to 0 and solve for x!

Answer 2

thank you!