Verify Rolle theorem for the function `f(x)=log{(x^2+a b)/(x(a+b))}on[a , b],` where `0

Verify Rolles theorem for function f(x)=x(x-2)^2 on [0,\ 2]

Verify Rolles theorem for function f(x)=x(x-1)^2 on [0,\ 1]

Verify Rolles theorem for function f(x)=x(x-1)^2 on [0,\ 1]

Verify Rolles theorem for the function f(x)=x(x-3)^2,\ 0lt=xlt=3 .

Verify Rolles theorem for function f(x)=x(x-4)^2 on [0,\ 4]

Verify Rolles theorem for the function y=x^2+2,a=-2 and b = 2 .

Verify Rolles theorem for function f(x)=x^2-4x+3 on [1,\ 3]

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

Verify Rolle's theorem for the function f(x)=\ x^2-5x+6 on [2, 3].

Verify Rolles theorem for the function f(x)=sqrt(4-x^2) on [-2,\ 2] .