Wednesday

April 16, 2014

April 16, 2014

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

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.

**Related Questions**

increasing and decreasing intervals - Have to find the intervals on which f(x...

increasing decreasing and more - How to analytically find the intervals on which...

Calculus - 1. For the function f(x)=4x^3-30x^2+4: a) Find the critical numbers ...

Calculus - find the intervals where the function is increasing and the intervals...

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 first and second derivative - simplify your answer. y=x/4x+1...

Calculus - 1. A rectangular box is to be constructed from 2 different materials...

Calculus - Find the interval(s) where the function is increasing and the ...