Test_2_Study_Guide_with_keys

# Test_2_Study_Guide_with_keys - Study guide #2 Materials...

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Study guide #2 Materials covered in test 2: Sections 3.3 to 4.1: Solving derivatives using Product/Quotient Rules and/or The Chain Rule, higher derivatives, Interpretation of derivatives (rate of change, slope, velocity, acceleration …), Trig/Implicit/Inverse/Log derivatives, Log-differentiation method, Related rates word problems, and Linear approximation. Sample problems : (The real Test #2 will consist of multiple choice or fill in the blank problems with NO partial credit. One bonus problem may consider partical credits. ) 1. Given 1 2 2 ) ( 3 + - = x x x x u . Find the derivative ) ( ' x u = _____________ (A) 2 / 3 3 3 ) 1 2 ( 2 ) 1 2 )( 2 ( + + - + - x x x x x x (B) 1 2 2 1 2 3 + + - + x x x x (C) 1 2 2 1 2 3 + - - + x x x x (D) 1 2 2 3 + x x 2. Given ) sin( ) ( 2 x e x f x - = . Find the derivative ) ( ' x f = _____________ (A) ) sin cos 2 ( 2 2 x x x e x - - (B) ) sin cos 2 ( 2 2 x x x e x + - (C). . . (D) . . . 3. Given ) 2 cot(cos ) ( x x f = . Find the derivative ) ( ' x f = _____________ (A) x x 2 sin ) 2 (cos csc 2 2 (B) x x 2 sin ) 2 (cos csc 2 2 - (C) x x 2 sin ) 2 (cos csc 2 - (D) . . 4.

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## This note was uploaded on 11/16/2011 for the course MATH 1350 taught by Professor Other during the Fall '10 term at LSU.

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Test_2_Study_Guide_with_keys - Study guide #2 Materials...

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