Thread: Implicit derivative and related rates?

Hi!

I'm having a bit of trouble with this assignment. I had to miss a couple class, and I'm afraid the teacher talked about this. I have the notes, but they are not of much help and don't talk about related rates at all. I tried looking around, I found lots of PDF from different universities, but I still don't get how to solve this problem. If I could get some pointers, that'd be great

Thanks

Here's the problem (translated from French):

A particle oscillates on the x-axis. It's position (in meters) at the time (in seconds) is related to its speed by the equation:


Give the acceleration of this particle when its position is , knowing that at that moment, the speed is positive.

Hint: This is a related rates problem in which you need to use the implicit derivative. Use the fact that and

Hey Kevindqc.

Hint: Try differentiating both sides with respect to x and collect all the dv/dt terms and get that in terms of the rest of the expression. (Note the chain rule d/dx u(g(x)) = dg/dx u'(g(x)))

I'm not sure I get what you're saying

is v' the dv/dt terms you are talking about? it's not dv/dx? I'm confused

like:







What am I supposed to do with :/

I don't understand what "get that in terms of the rest of the expression" means :x

I guess what really bugs me is the t