Verify Rolle's theorem for the function `f(x) = x^2 - 5 x + 6` in the interval [-3,8]

Verify Rolle's theorem for the function y=f(x)=x^2+4 on [-3,3]

Verify Rolle's theroem for the function x^2-1 on [-1,1] .

If the Rolle's theorem holds for the function f(x) = 2x^(3) + ax^(2) + bx in the interval [-1,1] for the point c =1/2 , then the value of 2a + b is

Verify Rolle's theorem for the function f(x)=x(x+3)e^(-x/2) in [-3,0].

Verify Rolle's theorem for the function sinx-sin2x on [0,pi]

Verify Rolle's theorem for the functions f(x)=x(x+3)e^(-x//2) on [-3,0]

Verify mean value theorem for the function f(x)=x^(2) on [2,4]

Verify Rolle’s theorem for the function f(x) = (x - a)m (x - b)^(n) on [a, b] where m and n are positive integers.

Verify Rolle's theorem for the function y= x^(2)+2, a= -2" and "b=2 .