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

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.

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 by f(x)=sinx-cosx,0lexle2π is strictly increasing or strictly decreasing.

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

Prove that the function f defined by f(x)=x^2−x+1 is neither increasing nor decreasing in (−1,1) . Hence find the intervals in which f(x) is strictly increasing and strictly decreasing.

Find the interval in which the function f given by f(x)=sin2x+cos2x, 0lexlepi is strictly decreasing.

Find the maximum value of the function f(x) =sin x + cos x .

The function f(x) = x^(2) e^(-x) strictly increases on

Let f(x) ={underset(ax, " "x lt0)(x^(2) , x ge0) . Find real values of 'a' such that f(x) is strictly monotonically increasing at x=0

Find the intervals in which f(x) = sin 3x – Cos 3x, 0 < x < pi , is strictly increasing or decreasing.