Question

find where the slop of the curve is defined...:
x^2y-xy^2=4

Answer 1

This requires finding the derivative of y wrt x, i.e. we want to know when dy/dx is definted. We are going to use implicit differentiation: \[ x^2 y - xy^2 = 4 \]\[ 2x \cdot y + x^2 \cdot \dfrac {\mathrm{d}y}{\mathrm{d}x} - x \cdot 2y \cdot \dfrac {\mathrm{d}y}{\mathrm{d}x} - y^2 = 0 \]Can you do the rest?

Answer 2

yes thank you!

Answer 3

No problem! :)