Engineering Board Exam Reviewer · Implicit Differentiation · medium

Find dy/dx if (x+y)=y.

1. ≤ft(x + y ) ≤ft(x + y ) + 1
2. ≤ft(x + y )1 - ≤ft(x + y )
3. ≤ft(x + y )
4. 11 - ≤ft(x + y )

Answer

B. ≤ft(x + y )1 - ≤ft(x + y )

Solution

Differentiate: (x+y)(1+y')=y' (x+y)=y'≤ft[1- (x+y) ], so dy/dx= (x+y)/1- (x+y).

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