(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let's take two problems, the derivative of

2^{x}

and

x^{π}

For the second one the book says that answer is

πx^{π-1}

Well if you can do that for the above, then why not for the first problem?

The book gives the answer to the first problem as

2^{x}ln 2

why not x2^{x-1}?

essentially what i need to know for finding derivatives, there are two techniques.

1. nx^n-1

2. k^x ln k

when do I use which technique?

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# Derivative of 2^x

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