AP Calculus ABmediummcq1 pt
Given x²y + y² = 6, find dy/dx at the point (1, 2).
A.-4/5
B.-4
C.-1/2
D.4/5
Explanation
Core Concept
Correct. Implicit differentiation gives 2xy + x²(dy/dx) + 2y(dy/dx) = 0. Substituting (1,2): 4 + dy/dx + 4(dy/dx) = 0, so dy/dx = -4/5.
Correct Answer
A-4/5
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