How Does the Height of a Parachute Change with Horizontal Displacement?

[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 :)

 

[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.

 

[HallsofIvy]

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

 

[JakePearson]

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

:)

 

[rock.freak667]

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

:)

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)) ?