1. ## Interval Question

I think maybe I'm differentiating this wrong...

Find the intervals where the function is increasing and decreasing for:

g(x) = x / (x+1)^2

---------------

I differentiated it as:

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

Right? What are the intervals?

Thanks!

2. Originally Posted by QED
I think maybe I'm differentiating this wrong...

Find the intervals where the function is increasing and decreasing for:

g(x) = x / (x+1)^2

---------------

I differentiated it as:

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

Right?
No, that is not correct. Assuming you mean ((x+1)^2- 2x^2(x+1))/(x+1)^4, you should not have that "^2" in "-2x^2(x+1)". The derivative of (x+1)^2 is 2(x+1) and, using the quotient rule, you just multiply that derivative by the numerator, x.

What are the intervals?
Thanks!
Well, why did you differentiate? What is true about the derivative of a function where the function is increasing? What if the function is decreasing?