Define the strictly increasing function and strictly decreasing function on an interval.

Define the increasing function and decreasing function on an interval.

The function x^x is decreases in

Prove that the function log sin x is strictly increasing (0,pi/2) and strictly decreasing on (pi/2,pi)

Find the intervals in which the following functions are strictly increasing and in which they are stirictly decreasing. sinh(sinx)

If composite function f_(1)(f_(2)(f_(3)(...((f_(n))))n times is an increasing function and if r of f_(1) s are decreasing function while rest are increasing , then the maximum value of r(n-r) is

Find the intervals in which the following functions are strictly increasing or strictly decreasing. ln(ln(x)), x gt 1

Find the intervals in which the following functions are strictly increasing and in which they are stirictly decreasing. cosh(cosx)

Find the intervals in which the following functions are strictly increasing and in which they are stirictly decreasing. Tan^(-1)(sinx)