Prove that the following functions are strictly increasing: `f(x)=cot^(-1)x+x`

Prove that the following functions are strictly increasing: f(x)=log(1+x)-(2x)/(2+x) for x > -1

Prove that the following functions are strictly increasing: f(x)=log(1+x)-(2x)/(2+x) for x > -1

Prove that the following functions are strictly increasing: f(x)=log(1+x)-(2x)/(2+x)

Prove that the following functions are strictly increasing: f(x)=log(1+x)-(2x)/(2+x)

Prove that the following functions are strictly increasing. f(x) = log (1 + x) - (2x)/(2 + x)

Show that the following functions are strictly increasing on R : f(x) = e^x

Prove that each of the following functions is strictly decreasing f(x)=1/(x+1)+1/(x+2)+1/(x+3)" "(x gt 0)

Prove that each of the following functions is strictly decreasing f(x)=(x+2)/(x+1) (x gt 0)

Find the intervals in which the following functions are strictly increasing : f(x) = (x+1)^3(x-3)^3

Determine the intervals in which the following functions are strictly increasing or strictly decreasing : f(x)=(x-1)(x-2)^(2) .