How do you implicitly differentiate #-y= 4x^3y^2+2x^2y^3-2xy^4 #?
Implicit Differentiation is a special case of the chain rule. When you differentiate the y variable in a term or factor you differentiating with respect to x. Because of this you have include the factor of
Divide all the terms by -1 to remove the negative
Distribute the negative
Gather the terms with the
Divide to isolate
Multiple numeric factors to simplify
Below are a couple of tutorials include implicit differentiation