Quiz 7 (Prequiz) - Derivatives II

# Quiz 7 (Prequiz) - Derivatives II - Calculus PreQuiz 7 -...

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Unformatted text preview: Calculus PreQuiz 7 - Derivatives II You will be able to determine the derivatives of functions using derivative rules including Constant Rule Power Rule Constant Multiple Rule Sum and Difference Rules You will be able to identify the location of a tangent line with a given slope. Name___________________________________ Date _____________________ Find dy/dx 1) y = x9 2) y = 3x2 + 7x + 2 3) y = x + 3 4) y = 5x 2 - 2.1x 1 1 5) y = x4 - x3 3 2 1 Find an equation for the line tangent to given curve at the indicated point. 6) y = x2 + 2 at (-4, 18) 7) y = x - x2 at (-2, -6) Solve the problem. 8) Find all points of the graph of y = 2x2 + 8x whose tangent lines are parallel to the line y - 24x = 0. 9) Find all points of the graph of y = 8x2 + 8x whose tangent lines are perpendicular to the line - 56y = x. 10) At what points on the graph of y = 2x3 - 3x2 - 78x is the slope of the tangent line -6? 11) For what points on the curve of y = 9x - x2 is the slope of a tangent line equal to 1? 12) For what value of x is the slope of a line tangent to the curve of y = 19x - x2 equal to the slope of a line tangent 1 to the curve of y = 18x - x2 ? 2 2 Answer Key Testname: QUIZ 7 (PREQUIZ) DERIVATIVES II 9x8 6x + 7 1 10x - 2.1 5) 2x3 - x2 6) y = -8x - 14 7) y = 5x + 4 8) (4, 64) 9) (3, 96) 10) (4, -232), (-3, 153) 11) (4, 20) 12) x = 1 1) 2) 3) 4) 3 ...
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## This note was uploaded on 02/03/2012 for the course MATH 101 taught by Professor Lee during the Spring '11 term at International Institute for Higher Education.

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