f(x)=x^(1/2)" on "[-1,1]

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

f(x) = x^(2) - 1 in [-1,1]

Verify Rolle's theorem for each of the following functions : f(x) = sqrt(1 -x^(2)) " in " [-1, 1]

If f(x)=cos^(-1)(2x^(2)-1), x in [-1,1]. Then

Let f(x) =(x+1)^(2) - 1, x ge -1 Statement 1: The set {x : f(x) =f^(-1)(x)}= {0,-1} Statement-2: f is a bijection.

Let f:[-1,oo]rarr[-1,) is given by f(x)=(x+1)^(2)-1,x>=-1. Show that f is invertible.Also,find the set S={x:f(x)=f^(-1)(x)}

Let f(x)={((x-1)^(2)"cos"1/(x-1)-|x+|,,,x!=1),(-1,,,x=1):} The set of points where f(x) is not diferentiable is

Let f(x) = (x+1)^(2) - 1, (x ge - 1) . Then, the set S = {x : f(x) = f^(-1)(x)} is

Let f(x) = (x+1)^(2) - 1, (x ge - 1) . Then, the set S = {x : f(x) = f^(-1)(x) } is