Quiz 8 (Prequiz) - Functions III (Product and Quotient Rules)

Quiz 8 (Prequiz) - Functions III (Product and Quotient Rules)

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Unformatted text preview: Calculus PreQuiz 8 Derivatives III (Product and Quotient Rules) Objectives: You will be able to calculate the derivative of a function using the product rule You will be able to calculate the derivative of a function using the quotient rule Name___________________________________ Date ________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find y . 1) y = (5x - 2)(5x3 - x2 + 1) Use the quotient rule to find the derivative. x3 2) y = x - 1 Find the indicated derivative of the function. (x - 6)(x2 + 4x) dy . 3) Find if y = dx x3 Solve the problem. 4) Find the tangent to the curve y = 6x at the point (1, 3). 2 + 1 x 5) The curve y = ax2 + bx + c passes through the point (2, 30) and is tangent to the line y = 3x at the origin. Find a, b, and c. 1 Answer Key Testname: QUIZ 8 (PREQUIZ) FUNCTIONS III (PRODUCT AND QUOTIENT RULES) 1) 100x3 - 45x2 + 4x + 5 2x3 - 3x 2 2) y = (x - 1)2 3) 2 x2 + 48 x3 4) y = 3 5) a = 6, b = 3, c = 0 2 ...
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