Andrews generalization


For a class assignment, Andrew is trying to find a general equation for the nth derivative of f(x) = 2xe^x, and he comes up with the equation the nth derivative of f(x) = (e^x)(2^n + 2x). His friend Sam points out that this equation fails at one of the higher order derivatives of f(x). If h(x) denotes the equation of the derivative that first fails to follow Andrew's generalization, find h(2).

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Mathematics: Andrews generalization
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