State Rolle's Theorem.

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

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

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

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

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

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

Verify Rolle's Theorem for the function : f(x) = x^2 - x - 12 in [-3,4]