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Sample Test 2 for Calculus I - Fall 2008 | MATH 229, Exams of Calculus
Material Type: Exam; Class: Calculus I; Subject: MATHEMATICAL SCIENCES; University: Northern Illinois University; Term: Fall 2008;
Typology: Exams
Pre 2010
1 / 4
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Download Sample Test 2 for Calculus I - Fall 2008 | MATH 229 and more Exams Calculus in PDF only on Docsity! Math 229 Section 4 Sample Test 2 Fall Semester 2008 NAME & ZID: SCORE: 1. (6 points) Prove the Product Rule, i.e., d dx (f(x)g(x)) = f ′(x)g(x) + f(x)g′(x). 2. (6 points each) Find derivatives. Do NOT simplify your answers. d dy ( 7 √ y4 + 7 7 √ y4 − 5y6 + 5 y6 − 7 √ 2 ) = d dx [ (6 − tan x)5 ] = d dx ( x9 cos x) = Test 2 MATH 229—Fall 2008 Page 2 of 4 d dx sin x 5 + x4 = d dx cot(9x − x9) = d dx sec(x4) = d dx [ sin8(3x) cos7(4x) ] = 3. (12 points) Find dy dx if x9 + x5y6 = sin y.