Exponential Functions and Their Derivatives

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5 Terms

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Exponential Function

A function of the form f(x) = a^x.

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Derivative of Exponential Function

Rate of change of f(x) = a^x is a^x ln(a).

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Base of Exponential Function

The constant 'a' in f(x) = a^x, a > 0.

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Natural Exponential Function

Exponential function where base a = e (approximately 2.718).

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Applications of Exponential Functions

Used in growth models, finance, and natural processes.