Question: The function (x) = ex satisfies (x) = (x). Show that if g is another function satisfying g'(x) = g(x), then g(x) = Ce x

The function ƒ(x) = ex satisfies ƒ(x) = ƒ(x). Show that if g is another function satisfying g'(x) = g(x), then g(x) = Ce^x for some constant C. Compute the derivative of g(x)e^−x.

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