`f(x) = sin^(4)x+cos^(4)x` in `[0,(pi)/(2)]`

Find local maximum and minimum value of f(x)=sin^(4)x + cos^(4)x, x in[0, (pi)/(2)] .

Verify Rolle's theorem for the following functions in the given intervals and find a point (or point) where the derivative vanishes : f(x) = sin^4x + cos^4 x in [0,pi/2]

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.

Let f(x)=sin^(4)x-cos^(4)x int_(0)^((pi)/(2))f(x)dx =

Rolle's Theorem for f (x) =sin^4x+cos^4x in [0,(pi)/2] is verified , then find c.

Verify the Rolle's theorem for each of the function in following questions: f(x)= sin^(4)x + cos^(4)x, "in " x in [0, (pi)/(2)]

Find the intervals in which the following functions is increasing of decreasing. f(x) = sin^(4)x + cos^(4)x, 0 le x le (pi)/(2)

Find the points of local maxima and local minima, if any, of the following functions. Find also the local maximum and local minimum values : f(x)=sin^(4)x+cos^(4)x,0ltxlt(pi)/(2).

The minimum value of f(x)-sin^(4)x+cos^(4)x,0lexle(pi)/(2) is

The minimum value of f(x)-sin^(4)x+cos^(4)x,0lexle(pi)/(2) is