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: Calculus 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 _______________________ 1) Find the derivative. 6 y = + 5 sec x x 2) Find the equation for the tangent line to y = cot x at x = . 4 3) Find the second derivative. y = 4x4 - 2x2 + 7 4) Find the second derivative. y = 7x3 - 2x2 + 3 1 5) find dy as a function of x dx y = (-2x + 7)5 6) Find the derivative of the function. q = 16r - r3 7) Find the derivative of the function. y = 8 + sin 4x 8) Find the derivative of the function. y = 6 tan3 x 2 Answer Key Testname: QUIZ 9 (PREQUIZ) DERIVATIVES IV (TRIG, HIGHER ORDER, AND CHAIN RULE) 1) y = - 6 x2 + 5 sec x tan x 2) y = -2x + + 1 2 3) 48x2 - 4 4) 42x - 4 5) y = u5 ; u = -2x + 7; 6) 7) 16 - 3r2 dq = dr 2 16r - r3 2 cos 4x 8 + sin 4x dy = -10(-2x + 7)4 dx 8) 18 tan2 x sec 2 x 3 ...
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