ReviewProblems for_Test2_F17.doc

# ReviewProblems for_Test2_F17.doc - MAKE SURE YOU SHOW ALL...

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MAKE SURE YOU SHOW ALL WORK TO RECEIVE FULL CREDIT. JUSTIFY YOUR ANSWERS Name: _________________________________ 1. Find the derivative of each of the following functions. (a) 7 2 x y (b) x x y ln csc (c) 3 3 2 x x y (d) x x y 2 7 3 2 (e) 2 3 tan 3sec 2 y x x

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2. Find the derivative of each of the following functions. Make sure that you simplify your answers as much as possible (a) ) 1 5 ( tan ) ln( 2 4 2 3 x e x y x (b) 2 3 3 4 y x x
(c) 3 2 2 1 1 x x y (d) ln sec f x x (e) ) ( sin 3 x y

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3. Use logarithmic differentiation to find the derivative of the following functions. (a) 3 4 2 5 1 3 2 x x y x (b) x x y ln 4. Find the derivative of the following functions. (a) 2 arctan 3 x y (b) x x y ) 3 arcsin(
5. Find dy dx of the following functions, using implicit differentiation . (a) 2 1 xy x y (b) sin y y xy xe

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8. Find the absolute extrema of the function on the closed interval:
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