Posted by Anonymous on .
A curve is defined by the equation x^2y^3+4x+2y=12. Find dy/dx in terms of x and y.

Math 
Steve,
x^2y^3+4x+2y=12
use the product rule as needed:
2x y^3 + 3x^2y^2 y' + 4 + 2y' = 0
y'(3x^2 y^2 + 2) = 2xy^3  4
y' is thus
2(xy^3 + 2)

3x^2 y^2 + 2