A point moves along the curve in such a way that the y value decreasing at the rate of 2 units per second. At what rate is x chaning when ?

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- Jul 10th 2007, 12:20 PMSamanthaspeed derivative
A point moves along the curve in such a way that the y value decreasing at the rate of 2 units per second. At what rate is x chaning when ?

- Jul 10th 2007, 12:37 PMCaptainBlack
- Jul 10th 2007, 12:40 PMSamantha
decreasing ?

- Jul 10th 2007, 12:46 PMSoroban
Hello, Samantha!

Quote:

A point moves along the curve: in such a way

that the y value decreasing at the rate of 2 units/sec.

At what rate is changing when ?

Differentiate with respect to time: .

We are given: .

Therefore: . units/sec