Question Detail
Question
Evaluate dy/dx of the implicit function e^(x+y) - (x²+1)y = 5
Correct Answer
Option A is the correct answer.
Detailed Explanation
Differentiating: e^(x+y)(1+y') - [2xy+(x²+1)y'] = 0. Collecting y' terms: y'[e^(x+y)-(x²+1)] = 2xy-e^(x+y), so y'=(2xy-e^(x+y))/(e^(x+y)-x²-1).
Hint
Differentiate both sides implicitly, treating e^(x+y) with the chain rule and (x²+1)y with the product rule, then collect all y' terms.