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for continuous compouding (in the exponential growth and decay) the function for interest after t years is:

A(t) = A0*e^rt

A0 should be read A at time 0

in the book, they say when you differentiate this function this is what you get

dA/dt = r*A0*e^rt = rA(t)

I dont see how to do this differentiation to finally come up with rA(t). I am getting something else using implicit differentiation.

Thanks,

Ivan

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# Exponential growth and decay

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