# Implicit differentiation

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• October 20th 2009, 06:01 PM
Open that Hampster!
Implicit differentiation
Find y prime through implicit differentiation: $x^2+xy-y^2 = 4$

$2x+(y+xy')-2yy' = 0$

Is this step correct? And if so, where do I go from here?
• October 20th 2009, 06:02 PM
adkinsjr
Quote:

Originally Posted by Open that Hampster!
Find y prime through implicit differentiation: $x^2+xy-y^2 = 4$

$2x+(y+xy')-2yy' = 0$

Is this step correct? And if so, where do I go from here?

Yup, just solve for y' as if this were an algebra problem.