Prove that the function are increasing for the given intervals: `f(x)=sinx+tanx-2x ,x in (0,pi/2)`

Prove that the function are increasing for the given intervals: f(x)=secx-cos e cx ,x in (0,pi/2)

Prove that the function are increasing for the given intervals: f(x)=e^x+sinx ,x in R^+

Prove that f(x)=x-sinx is an increasing function.

Verify Rolle's theorem for the following functions in the given intervals. f(x) = sin^(2) x in the interval [0,pi] .

Verify Rolle's theorem for the following functions in the given intervals. f(x) = sin 3x in the interval [0,pi] .

Verify Rolle's theorem for the following functions in the given intervals. f(x) = sinx + cos x in the interval [0 , pi//2] .

Prove that the function f(x)=cosx is strictly increasing in (pi,\ 2pi)

Verify Rolle's theorem for the following functions in the given intervals. f(x) sin x in the interval [ 0, pi] .

The function f(x) = x^(x) , x gt 0 , is increasing on the interval

Find the absolute maximum value and the absolute minimum value of the followingfunctions in the given intervals:(i) f(x)=x^2,x in [-2,2] (ii) f(x)=sinx+cosx ,x in [0,pi]