How do you implicitly differentiate #-y= 4x^3y^2+2x^2y^3-2xy^4 #?
1 Answer
Explanation:
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
We will have to use the product rule, power rule and chain rule.
Divide all the terms by -1 to remove the negative
Differentiate Implicitly
Distribute the negative
Gather the terms with the
Factor out
Divide to isolate
Multiple numeric factors to simplify
Below are a couple of tutorials include implicit differentiation