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number 3 please tences for any requested interpretations. Goal: To explore and discover the Chain Rule. Consider h(x) = (57+4) . h(x) is a composition

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number 3 please

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tences for any requested interpretations. Goal: To explore and discover the Chain Rule. Consider h(x) = (57+4) . h(x) is a composition of two functions, where h(r) = (fog)(x) = f(g(z)). 1. Identify each of the following g(x) = = (/2 *+4) f(x) = X f ' ( x ) : 8 ( x 3 ) g(x) = 1/2 x + 4 = 19 ( )+ 2 (4) = By 2 = /2 ( 1 ) to f' (x ) = 3 x = 1/2 g'(x) = 2. Complete the following table. h' (I) f'(x) g(x) f'(g(z)) g' (I) x = -6 101 00 108 1/2 r =1 243 8 3 243 I = 4 54 48 108 3. Look for patterns in your table entries to find a formula for h'(x) if h(x) = (* + 4) . using the functions f. g and/or their derivatives

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