Engineering Board Exam Reviewer · Implicit Differentiation · medium

Find dy/dx at the point (0,1) on the curve exy+x=y.

1. 1
2. -2
3. 0.5
4. 2

Answer

D. 2

Solution

Differentiate: exy≤ft(y+xy' )+1=y'. At (0,1): 1·(1+0)+1=y', so y'=2.

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