Consider f(x) = xe12x. a Show that f0 (x) = e12x(1 2x). b Find the point on the graph of

Chapter 25, Problem 21

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Consider f(x) = xe12x. a Show that f0 (x) = e12x(1 2x). b Find the point on the graph of y = f(x) where the tangent is horizontal. c Find values of x for which: i f(x) > 0 ii f0 (x) > 0

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