Verify Rolle's theorem for the function
`f(x) = x(x-2)^2, 0 le x le 2`

Verify Rolle.s theorem for the function f(x)=x(x-2)^(2),0lexle2

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

Verify Rolle.s theorem for the function f(x)=x^(2)-3x+2 in the interval [1,2]

Verify Rolle's theorem for the function f(x)=sin 2x in [0,(pi)/(2)]

Verify Rolle.s theorem for the function f(x)=x^(2)+3x-10 in the interval [-5,2]

Verify the Rolle's theorem for the function f(x)=log(x^(2)+2)-log3 in [-1,1]

Verify Rolle.s theorem for f(x) = (sin x)/( e^(x)) on 0 le x le pi .

find the value of c in Rolle's theorem for the function f(x)=x^(3)-3x in the interval [0,sqrt(3)] .

Verify mean value theorem for the function f(x)=sinx-sin2x in [0,pi]