The interval of `x` for which the function `y=-x(x-2)^2` increases is

The interval in which the function f(x)=x^(e^(2-x)) increases is

The interval in which the function y=x^(3) increases more rapid than the function y=6x^(2)+15x+5

Find the intervals in which the function f(X) = (x-1)^3(x-2)^2 is increasing or decreasing.

find the intervals in which the function y=2x^(3)-9x^(2)+12x+6 is increasing and intervals in which it decreasing

The length of the longest interval in which the function y=sin2x-2sinx increases for x in [0, pi] is

The length of the longest interval in which the function y=sin2x-2sinx increases for x in [0, pi] is

The interval on which the function f(x)=-2x^(3)-9x^(2)-12x+1 is increasing is :

Find the least value of k for which the function x^(2)+kx+1 is an increasing function in the interval 1

The interval on which the function f(x)=2x^(2)-3x is increasing or decreasing in :

Find the least value of k for which the function x^2+k x+1 is an increasing function in the interval (1,2)