I was wondering if I am doing this right because i have no clue if i

*am *doing it right!

So for f(x) .. i calculated its derivative:

arcsin(x/a)

same as y= arcsin(x/a)

sam as x/a= sin(y)

implicit differentiation , i get

1/a = cosy *dy/dx

dy/dx =

**1/acosy (is this the most simplified form?**

For g(x) . the derivative is

g(x) = a*arctan(x/a)

same as y= a*arctan(x/a)

same as siny = a *(x/a)

same as siny = x

derivative through implicit differentiation, i get

dy/dx[siny=x]

dy/dx *cosy = 1

**dy/dx = 1/cosy**
Suppose i found the derivatives for f(x) and g(x) in its most simplest form.. how do i go about finding a? Do i set them equal to each other and solve for a?

Thanks ;/!