Examine if Rolle's theorem is applicable to the following functions :
`f(x) = sin x on [0,pi]`

Examine if Rolle's theorem is applicable to the following functions : f(x) = cos x on [0,pi]

Examine if Rolle's theorem is applicable to the following functions : f(x) = [x] on [-1,1]

Examine if Rolle's theorem is applicable to the following functions : f(x) = |x| on [-1,1]

Which condition of Rolle's theorem is violated by the functionf(x) = sin x in [0,(3pi)/\4]

Find the value of c for which the Rolle.s theorem is applicable for the function f(x)=x^(2)-5x+4 on the interval [1,4]

Examine the following functions for continuity f(x)=x-5

Test differentiability and continuity of the following functions. f(x) = |sinx| at x = pi