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Science-Related Homework Help Mathematics Topic started by: tommyq on Sep 25, 2012



Title: What is the derivative of a constant raised to a function?
Post by: tommyq on Sep 25, 2012
For example, if I had 2^(3x) then what would be its derivative?
By the way, I know that the derivative of 2^x is Ln(2) x 2^x


Title: What is the derivative of a constant raised to a function?
Post by: lester on Sep 25, 2012
D(2^3x)=3 ln2 * 2^3x
thanks


Title: What is the derivative of a constant raised to a function?
Post by: DAV620 on Sep 25, 2012
Zero!


Title: Re: What is the derivative of a constant raised to a function?
Post by: riojamsushi on Sep 26, 2012
f(x) = a^u
f'(x) = (a^u) ln(a) (du/dx)

f(x) = 2^(3x)
f'(x) = (2^(3x)) ln(2) (3)