Explain the given function according to requirements

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Question: The function f(x) = ex has the properties

F'(x) = f(x) and f(0) = 1.

Explain why f(x) is the only function with both these properties. [Assume g'(x) = g(x), and g(0) = 1, for some function g(x). Define h(x) = g(x)/ex, and compute h'(x). Then use the fact that a function with a derivative of 0 must be a constant function.]

Reference no: EM131602615

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