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What is the derivative of a constant raised to a function?

tommyq

wrote...

11 years ago

What is the derivative of a constant raised to a function?

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

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lester

wrote...

#1

11 years ago

D(2^3x)=3 ln2 * 2^3x
thanks

DAV620 Author

wrote...

#2

11 years ago

Zero!

riojamsushi Author

wrote...

#3

11 years ago

f(x) = a^u
f'(x) = (a^u) ln(a) (du/dx)

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

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