Question

Can somebody show me how to complete the problem in problem set 2: 5A-3 f) ?

"Calculate the derivative with respect to x of the following: asin(a/x).

This is what I've tried:

y = asin(a/x)
sin(y) = a/x
d/dx (sin(y)) = d/dx (a/x)
cos(y) * dy/dx = -ax^-2
dy/dx = -a/(x^2 * cos(y))
dy/dx = -a/(x^2 * cos(asin(a/x)))

Answer 1

This helped: http://math.stackexchange.com/questions/345077/cos-arcsinx-sqrt1-x2-how