Show that `f(x)=1/(1+x^2)` is neither increasing nor decreasing on `R` .

Show that the function x^2-x+1 is neither increasing nor decreasing on (0,\ 1) .

Show that the function f(x)=x^2 is neither strictly increasing nor strictly decreasing on R .

Prove that the function f(x)=x^2-x+1 is neither increasing nor decreasing on (-1,\ 1) .

Prove that the function f(x)=cosx is neither increasing nor decreasing in (0,\ 2pi)

Prove that the function f defined by f(x)=x^2−x+1 is neither increasing nor decreasing in (−1,1) . Hence find the intervals in which f(x) is strictly increasing and strictly decreasing.

Show that f(x)=sinx is increasing on (0,\ pi//2) and decreasing on (pi//2,\ pi) and neither increasing nor decreasing in (0,\ pi) .

Show that f(x)=tan^(-1)x-x is decreasing function on Rdot

Show that f(x)=tan^(-1)x-x is decreasing function on Rdot

Show that f(x)=e^(2x) is increasing on R .

Find the intervals in which f(x)=log(1+x)-x/(1+x) is increasing or decreasing.