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)+sin x,x in R^(+)

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

The function f(x) = x^2 is increasing in the interval

Prove that the function f(x)=log_(e)x is increasing on (0,oo)

The function f(x)=cos^(-1)x+x increases in the interval

Determine whether the following function is increasing or decreasing in the given interval : f(x) =cos (2x+(pi)/(4)), (3pi)/(8) le x le (5pi)/(8) .

The function f(x)=x^(2)+2x-5 is increasing in the interval

Prove that the function f(x)=(log)_(e)x is increasing on (0,oo)

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 function f(x)=log_(e)x is strictly increasing in the interval (0,oo)