Derivative of the Compound Interest Formula?

Question

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

 

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

Answer 1

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.