# Point moving along the curve y=2x^2+1

1. Oct 12, 2005

### mattsoto

A point moves along the curve y=2x^2+1 in such a way that the y value is decreasing at the rate of 2 units per second. At what rate is x changing when x=(3/2)?

2. Oct 12, 2005

### amcavoy

What have you done so far? Do you know anything about related rates? Start by differentiating, then use the fact that:

$$\frac{dy}{dx}=\frac{\frac{dy}{dt}}{\frac{dx}{dt}}$$

Try writing the info. given in terms of derivatives.

Alex

3. Oct 12, 2005

### Galileo

What is the given and what is the unknown? From the problem statement, you know that y and x are also functions of t.
Show what you got so far.