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**tOmd****Member**- Registered: 2005-05-08
- Posts: 1

How do I differentiate At^b * e^c?

Where t is the variable, e is euler's number and A, b and c are all constants. I'm pretty sure I should be able to be able to simplify it to t = b/c or something like that.

Please Help!!!

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,604

Hmmm ... if you treat (A*e^c) as a constant, call it "f" then you have:

f t^b

which is easily differentiated as

f t^b ln(b)

(derivative of a^x = a^x ln a)

There may be something special with your formula that I am not aware of, though!

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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