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hw04 - Homework 4 Due 1 Differentiate the following(a f(x =...

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Homework # 4 Due: 6/13/06 1. Differentiate the following: (a) f ( x ) = x 2 (cos x )(sin x ) (b) f ( x ) = tan x - 1 sec x (c) f ( θ ) = sin θ ( θ +tan θ ) 1+sec θ (d) f ( x ) = ( x - 1) 4 ( x 2 +2 x ) 5 (e) f ( x ) = sin tan sin x 2. Find dy/dx by implicit differentiation: (a) 1 + x = sin( xy 2 ) (b) tan( x
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