State Rolle's Theorem.

Which of the following functions satisfies all contains of the Rolle's theorem in the invervals specified?

Which of the following functions satisfies all conditions of the Rolle's theorem in the invervals specified?

Verify Rolle's Theorem for the function f(x)= 10x - x^(2)

Verify the Rolle's theorem for the function f(x) = x^(2) in [-1,1]

Verify the Rolle's theorem for f(x)=(x-1)^(2) in [1,2].

Verify Rolle's Theorem for the functions : f(x)=sinxcosx " in "[0,pi/2]

Number OF Critical point || Local maxima/minima || Mean value Theorem: Rolle's Theorem