Test whether the following functions are increasing or decreasing : `f(x)`=`x−1/x`,x∈R,x≠0.

Find the intervals in which the following function are increasing or decreasing. f(x)=10-6x-2x^2

Find the intervals in which the following function is increasing and decreasing f(x)=x^2-6x+7

Find the intervals in which the following functions are: (i) increasing .(ii)decreasing f(x) = 2x^(2)-6x

24. Find the intervals in which the following function is (a) increasing and (b) decreasing f(x)=2x^3+9x^2+12x-1

Test whether the function f(x)=x^3-8 is increasing on [1,\ 2] .

State whether f(x)=tanx-x is increasing or decreasing its domain.

Test the continuity of the following function at the origin; f(x)={x/(|x|),x!=0 and 1,x=0

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

Test the continuity of the following function at the origin: f(x)={(|x|)/x ;x!=0 ,1;x=0

Find whether the following function is differentiable at x = 1 and x = 2 or not : f(x)={x ,x 2