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1. Differentiate the following functions. For part a, use the definition of the derivative. For parts b and c, use derivative shortcuts. (Assume x and

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1. Differentiate the following functions. For part a, use the definition of the derivative. For parts b and c, use derivative shortcuts. (Assume x and y both represent variables.) a) f (x) = x2 + 3x+8 b) g(x) = (xy2 + 3)7 xy c) h(x) = 2xy + 1

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