Prove that the function f given by `f(x)= |x-1|, x in R` is not differentiable at x= 1.

The set of points where the function f given by f(x) = |2x-1|sin x is differentiable is

Prove that the function f: R to R, given by f (x) =2x, is one-one and onto.

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

Prove that the function f : R to R defined by f(x) = 2x , AA x in R is bijective.

Show that the function given by f(x) = 7x – 3 is increasing on R.

Let I be any interval disjoint from [–1, 1]. Prove that the function f given by 1 f(x) =x+(1)/(x) is increasing on I.

The function f(x)=cos|x|+(x^(2)-1)|x^(2)-3x+2| is not differentiable at :

Show that the function given by f (x) = 3x + 17 is increasing on R.

Show that the function given by f (x) = e ^(2x) is increasing on R.