What is the derivative of #f(x) = 9^x#?

1 Answer
bp
Nov 2, 2015

#9^x ln 9#

Explanation:

Though it is application of the standard formula of derivative of #a^x# , but it can be derived as follows:

Let #y = 9^x#, then ln y = x ln 9. Now differentiate as follows:

#1/y dy/dx= ln 9#

#dy/dx = y ln 9 = 9^x ln 9#

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