Quiz 4 - x-3 (c) x/ (1 + A/x ), where A is a constant 2 Ax...

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Prof. Haiman Math 1A—Calculus Fall, 2006 Quiz 4 solutions—version A Name Student ID Number 1. Differentiate the following functions of x (a) e x / (cos x ) e x (cos x + sin x ) / (cos 2 x ) = e x (sec x )(1 + tan x ) (other ways of expressing the answer are also possible) (b) ( x 2 - 4 x ) /x 3 - x - 2 + 8
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Unformatted text preview: x-3 (c) x/ (1 + A/x ), where A is a constant 2 Ax + x 2 ( A + x ) 2 2. Express the limit as a derivative f ( a ), and evaluate it: lim x → 2 10 x-100 x-2 For f ( x ) = 10 x , the limit is f (2) = 100 ln 10. 1...
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This note was uploaded on 03/08/2010 for the course MATH 1A taught by Professor Wilkening during the Fall '08 term at University of California, Berkeley.

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