# Finding the rate of change

1. Jul 24, 2009

### JakePearson

the height h(x) in meters above the ground of a parachute varies with her horizontal distplacement x in meters from a landing target on the ground as h(x) = 50sin^-1 (0.1x). what is the rate of change of h with respect to x at x = 6m?

i was wondering of someone could help me with this question :)

2. Jul 24, 2009

### Cyosis

Do you have any idea yourself? What are you thoughts on this problem? We require some effort from your side before we guide you to the answer.

Last edited: Jul 24, 2009
3. Jul 24, 2009

### HallsofIvy

Staff Emeritus
What is the derivative of h(x) = 50sin^-1 (0.1x)? That's all this is asking. Do you know the derivative of arcsine?

4. Jul 24, 2009

### JakePearson

is it
1 / sqrt(1-x^2)

:)

5. Jul 24, 2009

### rock.freak667

yes so now you know

$$\frac{d}{dx} (sin^{-1}x)= \frac{1}{\sqrt{1-x^2}}$$

what is d/dx( sin-1(0.1x)) ?