can someone help me with this calculus question???

Question

find dy:

xy^2 - 4x^(3/2) - y = 0

Answer 1

Implicit differentiation.

Swing the middle term to the other side. (That's an optional but helpful step.) Differentiate both sides. (Use the Product and Chain Rules on the first term.) Collect terms to get things in the form f(x,y)*y = g(x,y). Divide both sides by f.

And you'll be done.