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Unformatted text preview: Assume k is another unknown function. Try to guess the derivative of y = fg hk 3. The graphs of a function, f , and its derivative, f ′ , are shown at right. Suppose that g = x 2 f (a) Figure out which graph is f and which graph is f ′ . (b) Find g ′ (c) Estimate g ′ (2). 2 Hints and Answers Challenge 1. (a) y ′ = f ′ gh + fg ′ h + fgh ′ (b) y ′ = f ′ gh + fg ′ hfgh ′ h 2 (c) y ′ = f ′ ghfg ′ hfgh ′ ( gh ) 2 (d) y ′ =f ′ ghfg ′ hfgh ′ ( fgh ) 2 2. y ′ = f ′ ghk + fg ′ hkfgh ′ kfghk ′ ( hk ) 2 3. (a) Top graph is f , bottom is f ′ . (b) g ′ = 2 xf + x 2 f ′ . (c) g ′ (2) ≈ 60. 3...
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 Fall '08
 STAFF
 Calculus, Derivative, Graph of a function

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