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Unformatted text preview: Homework # 4 Due: 6/13/06 1. Diﬀerentiate the following: (a) f (x) = x2 (cos x)(sin x) (b) f (x) = (c) f (θ) = (d) f (x) =
tan x−1 sec x sin θ(θ+tan θ) 1+sec θ (x−1)4 (x2 +2x)5 (e) f (x) = sin tan √ sin x 2. Find dy/dx by implicit diﬀerentiation: (a) 1 + x = sin(xy 2 ) (b) tan(x − y) =
y 1+x2 3. Find the ﬁrst and second derivatives of f (x) = xn , where n is any number. 4. §3.9 # 16 5. Find the linearization of f (x) = x1/3 at a = −8 ...
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This note was uploaded on 02/29/2008 for the course MAT 141 taught by Professor Varies during the Spring '08 term at Lehigh University .
 Spring '08
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 Implicit Differentiation

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