related rates, chain rule problem

**Red** · June 22nd 2010, 09:38 AM

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

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

x= -2

was wondering about the differentiating, so far i have:

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

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

**earboth** · June 22nd 2010, 09:49 AM

Originally Posted by Red

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

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

x= -2

was wondering about the differentiating, so far i have:

- $\frac{6x(\frac{dx}{dt})}{\bold{(}2+x^2)^2}$ <----- typo

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

...

**Red** · June 22nd 2010, 09:57 AM

okay, now i got the problem right.

thanks for pointing that out, i was going by this example problem and it didn't have the denominator in parenthesis because for some reason it doesn't show in the .pdf file. anyway i got the answer to my question though.

Thread: related rates, chain rule problem

LinkBack

Thread Tools

Display

related rates, chain rule problem

Similar Math Help Forum Discussions

Related Rates Problem

Step by step for related rates with chain rule?

Related Rates problem

[SOLVED] chain rule with functions related by equations?

Help! Related rates with the chain rule

Search Tags