Verify Rolle's theorem for the function `f(x)= x^(2)+2x-8, x in [-4, 2]`.

Verify Rolle's theorem for the funnction f(x) = 4x^(3) - 9x " in " -(3)/(2) le x le (3)/(2)

Compute the value of 'c' satisfied by the Rolle's theorem for the function . f(x) =x^(2)(1-x)^(2), x in [0,1] .

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

Verify Rolle's theorem for the following f(x) = |x| -1 le x le 1

Find the value of c in the interval ((1)/(2),2) satisfied by the Roll's theorem for the function. f(x)=x+(1)/(x), x in [(1)/(2),2]

The range of the function f(x) = x^2 +2x +2 is

Verify mean value theorem for the function f(x) = x^(3) - 5x^(2) _ 2x in [1, 3]