Show that the function `f(x)=(x+2)/(x+1)(xgt0)` decreasing.

Prove that the function f(x)=x+1/x (x ne 0) is decreasing for all x in (-1, 0) uu (0, 1) .

Prove that the function f(x) = x+1/x(x!=0) is decreasing for all x in (-1,0)uu(0,1) .

The function f(x)= 1- x^(3) - x^(5) is decreasing for -

Show that, the function f(x) = |x-1| is not differentiable at x = 1

Show that the function given by f (x) = sin x is (a) increasing in (0,(pi)/(2)) (b) decreasing in ((pi)/(2) ,pi) (c) neither increasing nor decreasing in (0, pi )

Show that, the function 4x^(2)-6x-11 is increasing at x=4 and the function x^(2)/(x^(2)+16) is decreasing at x=-2 .

Show that the function f(x)=x|x| is continuous and differentiable at x = 0

Show that the function f(x)={{:(x"cos"(1)/(x),"when"xne0),(0,"when"x=0):} is continuous at x=0.

Integrate the functions x/(sqrt(x+4)),xgt0

The function f(x)=tan^(-1)x-x decreases in the interval