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

Show that f(x)=sinx is an increasing function on (-pi//2,\ pi//2) .

Show that f(x)=sinx-cosx is an increasing function on (-pi//4,\ pi//4) .

Let f be a function defined on [a, b] such that f^(prime)(x)>0 , for all x in (a ,b) . Then prove that f is an increasing function on (a, b).

Show that f(x)=x-sinx is increasing for all x in R .

Show that f(x)=x-sinx is increasing for all x in R

Show that f(x)=tan^(-1)(sinx+cosx) is an increasing function on the interval (0,\ pi//4) .

The function f(x)=tan^(-1)(sinx+cosx) is an increasing function in

Find the values of ' a ' for which the function f(x)=sinx-a x+4 is increasing function on R .

Find the values of ' a ' for which the function f(x)=sinx-a x+4 is increasing function on R .

Prove that f (x) = e^(3x) is strictly increasing function on R.