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Unformatted text preview: Repeated Use of the Chain Rule We sometimes have to use the Chain Rule two or more times to ﬁnd a derivative. Example 5 g ( t ) = tan(5sin (2 t )) The Chain Rule with Powers of a Function Let u be a diﬀerentiable function of x , then d dx u n = This is called the Power Chain Rule . Example 6 1. d dx (5 x 3x 4 ) 7 3 2. d dx ( 1 3 x2 ) 3. d dx (sin 5 x ) 4. d dx ( e √ 3 x +1 ) 4...
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 Spring '08
 FBHinkelmann
 Calculus, Chain Rule, Derivative, The Chain Rule

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