Question Detail
Question
Given the implicit function (x+y)²=5, find dy/dx
Correct Answer
Option A is the correct answer.
Detailed Explanation
Differentiating: 2(x+y)(1+y')=0. Since (x+y)²=5 means x+y≠0, we need 1+y'=0, so y'=-1.
Hint
Differentiate both sides and note that the (x+y) factor cannot be zero.