Thread: factoring/increasing decreasing functions

I am in Increasing and Decreasing Functions.

I'm just wondering how to factor this. The original question was y=1/x^2+1, and taking the derrivative i was left with y'=-2x/(x^2+1)^2.

how do i factor the derrivative to get the x's?

What do you mean?. You want to solve for x?. It's already factored.

Do you want to set to 0 and solve for x?. If so, about the only value x can have is 0.

yeah i want to set it to = zero, but its kind of confusing because its a fraction and im not used to that.

Well, you can't have division by 0 so concentrate on the numerator.

You have

So,

Solve for x.

If you want to find inflection points, find y'', set to 0 and solve for x.



To set this to 0 and solve, just solve