Home
Class 12
MATHS
Find the values of x for which y = [x(x ...

Find the values of x for which y = `[x(x – 2)]^(2)` is an increasing function.

Text Solution

Verified by Experts

The correct Answer is:
0 `lt x lt 1` and `x gt 2`
Promotional Banner

Similar Questions

Explore conceptually related problems

2x^(3)-6x+5 is an increasing function, if

The interval in which y = x^(2) e^(–x) is increasing in

The range in which y = - x^(2) + 6x -3 is increasing is

Find the interval in which f(x)=2x^(3)+3x^(2)-12x+1 is increasing.

For what values of a the function f given by f(x) = x^(2) + ax + 1 is increasing on [1, 2]?

The value of k for which y^(2)+x y+k x^(2)-x-2 y+k=0 represents two lines is

Find the values of 'a' for which -3<(x^2+ax-2)/(x^2+x+1)<2 is valid for all real x.

Find the values of m for which the expression 2x^2+m x y+3y^2-5y-2 can be resolved into two rational linear factors.

Find the intervals in which the function f given by f(x) = 2x^(2) – 3x is (a) increasing (b) decreasing