The function `f(x)=2sin x-e^(x), AA x in [0, pi]` has

The value of c in Rolle's theorem for the function f(x) = e^(x).sin x, x in [0, pi] is

Verify mean value theorem for each of the functions: f(x)= sin x- sin (2x), "in " x in [0, pi]

The difference between the maximum and minimum values of the function f(x)=sin^(3)x-3sinx, AA x in [0,(pi)/(6)] is

The difference between the maximum and minimum values of the function f(x)=sin^(3)x-3sinx, AA x in [0,(pi)/(6)] is

The function f(x)=tanx+(1)/(x), AA x in (0, (pi)/(2)) has

The function f(x)=tanx+(1)/(x), AA x in (0, (pi)/(2)) has

The value of c in Rolle's Theorem for the function f(x) = e^x sin x , x in [0,pi] is

Let the function f(x)=x^(2)sin((1)/(x)), AA x ne 0 is continuous at x = 0. Then, the vaue of the function at x = 0 is

Let the function f(x)=x^(2)sin((1)/(x)), AA x ne 0 is continuous at x = 0. Then, the vaue of the function at x = 0 is

Find the intervals in which the function f(x) = sin^(4) x + cos^(4) x AA x in [0, pi//2] is increasing and decreasing.