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Quiz 10(Prequiz)-Implicit Differentiation 1

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

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Calculus 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 SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find dy/dx by implicit differentiation. If applicable, express the result in terms of x and y. 1) 8x + 5y = 9 2) 4y - 7x 2 = x - 8 3) 4y 2 - 7x 2 - 15 = 0 4) 7y + 3xy - 9 = 0 Find dy/dx by implicit differentiation. 5) x 3 + 3x 2 y + y 3 = 8 1

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At the given point, find the slope of the curve, the line that is tangent to the curve, or the line that is normal to the curve,
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