Question: . The exponential function in Newton calculus has the unique property that it is the only function that is equal to its derivative so that

. The exponential function in Newton calculus has the unique property that it is the only function that is equal to its derivative so that f 0(x)= f(x) f(x)= e x (up to a multiplicative constant). What deterministic equation does it satisfy? Derive the Ito calculus exponential function using Ito Lemma.

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