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Quiz 10 (Prequiz)-Implicit Differentiation 1

Quiz 10 (Prequiz)-Implicit Differentiation 1 - AP Calculus...

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AP Calculus AB Prequiz 10 - Implicit Differentiation Name___________________________________ Date______________________ Objective: You will be able to determine the derivative of a curve using implicit differentiation You will be able to determine the slope and equations of the tangents to a curve using implicit differentiation MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Use implicit differentiation to find dy/dx. xy + x + y = x 2 y 2 A) 2xy 2 - y - 1 - 2x 2 y + x + 1 B) 2xy 2 + y 2x 2 y - x C) 2xy 2 + y + 1 - 2x 2 y - x - 1 D) 2xy 2 - y 2x 2 y + x 2) Use implicit differentiation to find dy/dx. xy + x = 2 A) - 1 + x y B) 1 + x y C) 1 + y x D) - 1 + y x 3) Use implicit differentiation to find dy/dx. cos xy + x 6 = y 6 A) 6x 5 + y sin xy 6y 5 - x sin xy B) 6x 5 - y sin xy 6y 5 + x sin xy C) 6x 5 - x sin xy 6y 5 D) 6x 5 + x sin xy 6y 5
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