ECN700-HW1

ECN700-HW1 - mine all local maxima, minima, and points of...

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Problem Set 1 - Calculus Review I. For each function, calculate the derivative with respect to x. a.f ( x ) = 17 b.f ( x ) = 5 x 3 c.f ( x ) = 3 x 1 3 d.f ( x ) = 1 x 2 e.f ( x ) = ln( x 3 ) f.f ( x ) = e x g.f ( x ) = 5 e 3 x h.f ( x ) = x 3 - 5 x 2 + 6 x + 2 i.f ( x ) = x 3 x 5 j.f ( x ) = e x ( x 2 - 2 x + 2) II. Compute ∂f ∂x and ∂f ∂y for the following functions: a.f ( x, y ) = x 3 y 4 b.f ( x, y ) = x y f ( x, y ) = e x y d.f ( x, y ) = x 2 y 3 + e ( x 2 y ) e.f ( x, y ) = 2 x + 4 y + x 2 + ln( x 2 + y 2 ) f.f ( x, y ) = x x 2 + y 2 III. For each of the following functions of one variable, use calculus to deter-
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Unformatted text preview: mine all local maxima, minima, and points of inflection. a. f ( x ) = 4 x 3-12 x b. f ( x ) = 4 x-x 2 c. f ( x ) = x 3 IV. Problems from the textbook. a. 2.1 (just parts (a)-(d) b. 2.3 c. 2.4 1...
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This note was uploaded on 10/22/2009 for the course ECG 700 taught by Professor Morrill during the Fall '09 term at N.C. State.

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