Find the values of `x` where `f(x)=sin(lnx)-cos(lnx)` in strictly increasing.

Find the values of 'x' for which f(x)=x^(x),x gt 0 is strictly increasing or decreasing.

Find the intervals in which f(x)=sin3x cos3x,0

Find the interval in which function f(x)=sin x+cos x is strictly increasing or decreasing.

Separate the interval [0,(pi)/(2)] into sub intervals in which function f(x)=sin^(4)(x)+cos^(4)(x) is strictly increasing or decreasing.

f(x)=x^(2)+lnx

Write the set of values of a for which f(x)=cos x+a^(2)x+b is strictly increasing on R.

Find the intervals in which f(x)=sinx-cosx , where 0ltxlt2pi , is strictly increasing or decreasing.

Find the interval in which f(x)=x^(3)-3x^(2)-9x+20 is strictly increasing or strictly decreasing.

Find the intervals in which the function f given f(x)=sin x+cos x,0<=x<=2 pi, is strictly increasing or strictly decreasing.

Example 13 Find the intervals in which the function f tives f(x)=sin x+cos x,0<=x<=2pi is strictly increasing or strictly decreasing.