A point is moving along the graph of the given function such that $\displaystyle \frac{dx}{dt}$ is 2 centimeters per second. Find $\displaystyle \frac{dy}{dt}$ for the given values ofx.

y = $\displaystyle \frac{3}{2+x^2}$

x= -2

was wondering about the differentiating, so far i have:

- $\displaystyle \frac{6x(\frac{dx}{dt})}{2+(x^2)^2}$

answer i get seems to be off though, but i'm guessing i messed up somewhere in the process.