Derivative of the Compound Interest Formula? (2024)

Tom D.

asked • 12/14/17

F = P(1 + r/100)^t

Assume P and r are constant, find dF/dt.

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Derivative of the Compound Interest Formula? (1)

Kenneth S. answered • 12/14/17

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dF/dt = P(1+r/100)tln(1+r/100) because this is an exponential having a constant numerical base, and the derivative of an exponential IS THAT EXPONENTIAL, times the natural log of the base.

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Derivative of the Compound Interest Formula? (2024)
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