Quiz 9 (Prequiz) Derivatives IV (Trig, Higher Order, and Chain Rule)

Quiz 9 (Prequiz) Derivatives IV (Trig, Higher Order, and Chain Rule)

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Unformatted text preview: AP Calculus AB PreQuiz 9 - Derivatives IV Objectives: You will be able to determine the derivative of trigonometric functions You will be able to determine, evaluate, and interpret higher order derivatives of a functions. You will be able to determine the derivative of a function using the chain rule. Name___________________________________ Date _______________________ 9 1) Find the derivative. y = + 9 sec x x 2) Find the equation for the tangent line to y = cot x at x = . 4 3) Find where y = tan(x) - x has horizontal tangents in the interval 0 x 2, or state that there are none. 4) Find y if y = 7 sin x. 1 5) Find y if y = 9 sec x. 6) Find the derivative of the function. q = 14r - r5 7) Find the derivative of the function. r = (sec + tan ) -3 8) Find y . y = 10 + 5 4 x 9) Find y . y = 6 sin (2x + 10) 2 Answer Key Testname: QUIZ 9 (PREQUIZ) DERIVATIVES IV (TRIG, HIGHER ORDER, AND CHAIN RULE) 1) y = - 9 x2 + 9 sec x tan x 2) y = -2x + + 1 2 3) x = 0, x = , x = 2 4) - 7 sin x 5) 9 sec 3 x + 9 sec x tan2 x 6) 7) 14 - 5r4 dq = dr 2 14r - r5 dr = -3(sec + tan )-4 sec tan + sec 2 d 300 5 2 40 5 8) 10 + + 10 + 4 x 3 x x x 9) - 24 sin (2x + 10) 3 ...
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