Prove that the function `f` given by `f(x)=x-[x]` is increasing in `(0,\ 1)` .

Prove that the function f given by f(x)=x-[x] us increasing in (0,1)dot

Prove that the function f given by f(x)=x-[x] us ubcreasubg ub (0,1)

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

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

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

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

Prove that the function given by f(x)=x^3-3x^2+3x-100 in increasing in 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.

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.

Prove that the function f given by f(x) = log sinx, is increasing on (0,pi/2) and decreasing on (pi/2, pi) .