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)

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)

anonymous · Answer

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!

anonymous · Answer

thank you!