Home
Class 12
MATHS
Find the values of x for which the funct...

Find the values of x for which the function f(x)`=x^(2)(x-2)^(2)` will be an increasing function.

Text Solution

Verified by Experts

The correct Answer is:
`0 lt x lt 1 " or ", x gt 2`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the values of x for which the function f(x)=x^(3)-7x^(2)+8x-10 is monotonic increasing.

Find values of x over which the function f(x)= x^2+2 is increasing

Find the range of values of x for which the function f(x)=2x^(3)-9x^(2)-24 x+5 increases with x

Find the least value of k for which the function x^2+k x+1 is an increasing function in the interval 1ltxlt2

Find the values of x which the function f(x)=sqrt(log_(1//2)((x-1)/(x+5)) is defined.

For the function f(x)=2x^2-In|x|

Find the range of values of x for which the function f(x)=2x^(3)-9x^(2)-24 x+5 decreases with x.

Find the intervals in which the function f(x)=(x)/(x^(2)+1) is increasing

Find the condition so that the function f(x)=x^(3)+ax^(2)+bx+c is an increasing function for all real values of x.

The maximum value of the function f(x)=5-x-x^(2) is -