Posted by Mike on .
Find dy/dx in terms of x and y if arcsin(x^5y)=xy^5.

Calculus 
Steve,
arcsin(x^5y) = xy^5
1/√(1x^10y^2) * (5x^4y + x^5 y') = y^5 + 5xy^4 y'
y' =
y^5  5x^4y/√(1x^10y^2)

x^5/√(1x^10y^2)  5xy^4
you can massage that if you want to get rid of the fractions