Engineering Board Exam Reviewer · Implicit Differentiation · medium

Find dy/dx if x2-xy+y2=7.

1. - 2 x + y/- x + 2 y
2. 2 x - y/- x + 2 y
3. 2 x + y/x + 2 y
4. - 2 x + y/x + 2 y

Answer

A. - 2 x + y/- x + 2 y

Solution

Differentiate: 2x-y-xy'+2yy'=0 y'(2y-x)=y-2x, so dy/dx=y-2x/2y-x.

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