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Derivativeshard
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If f(x)f(x)f(x) is a differentiable function such that f(x)+xf′(x)=exf(x) + x f'(x) = e^xf(x)+xf′(x)=ex, which of the following is true regarding g(x)=xf(x)g(x) = x f(x)g(x)=xf(x)?