7.4.17-eg - Example π Find y (x) if y (x) = (ln x2 ) . If...

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Unformatted text preview: Example π Find y (x) if y (x) = (ln x2 ) . If we first note that y = f (g (x)), where f (x) = xπ and g (x) = ln x2 , then by chain rule dy = f (g (x))g (x). dx For this problem, f (x) = πxπ−1 and g (x) = 2x , thus x2 dy = π ln x2 dx π −1 2 ·. x ...
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This note was uploaded on 04/02/2012 for the course MTH 132 taught by Professor Kihyunhyun during the Fall '10 term at Michigan State University.

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