Engineering Board Exam Reviewer · Implicit Differentiation · medium

Find the slope of the curve x2y+xy2=6 at the point (1,2).

1. 1.6
2. -0.625
3. -1.6
4. -2

Answer

C. -1.6

Solution

Differentiate: 2xy+x2y'+y2+2xyy'=0 y'(x2+2xy)=-(2xy+y2). At (1,2): y'=-4+4/1+4=- 85=-1.6.

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