Posted by **Icy** on Thursday, May 10, 2007 at 10:48am.

Find the intervals on which y=1/(x^2+1)^2 is increasing and decreasing.

find the first derivative which is

-4x/(x^2+1)^3

you should know that if the first derivative is positive, then the function is increasing and if it is negative, the function is decreasing.

Now by inspection look at this derivative.

The denominator is always positive.

If x is positive, the numerator is negative, so the function decreases for positive x's

and conversely the function increases for positive values of x

I see what I did wrong now, thank you for your help.

## Answer This Question

## Related Questions

- increasing decreasing and more - How to analytically find the intervals on which...
- increasing and decreasing intervals - Have to find the intervals on which f(x...
- Calculus - find the intervals where the function is increasing and the intervals...
- Calculus - 1. For the function f(x)=4x^3-30x^2+4: a) Find the critical numbers ...
- Math-Calculus (check please) - FOr the function f(x)=x^2e^x Find the critical ...
- Calculus - Find the critical numbers of f, find the open intervals on which the ...
- Calculus - For y=(1/4)x^4-(2/3)x^3+(1/2)x^2-3, find the exact intervals on which...
- Calculus - find the intervals on which f is increasing and decreasing f(x)=(x-2...
- Calculus - For f(x)=2(x+5)^3 +7 Find and classify the extreme values, determine ...
- Calculus - Given that C(x)=2x^3-21x^2+36x+1000 is a cost function, determine the...

More Related Questions