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Differentiating to the power of x.

1. Hello, I just dont know how to differentiate something to the power of x..

For example

y = 10^x

Thanks!
2. Well, 10^x = e^(x ln 10) = (e^x)^ln 10, and you know how to differentiate that.
3. Take logs

Then differentiate (using the product rule for the x ln10)

Then replace y back in

4. what he said ^

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Updated: May 21, 2008
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