What is the derivative of $2^x$ ?

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Answer 1 · 2016-03-11T21:36:26

$2^x ln 2$

$d/dx(e^x) = e^x$

So:

$d/dx(2^x) = d/dx ((e^ln 2)^x)$

$= d/dx(e^(x ln 2))$

$= e^(x ln 2) d/dx (x ln 2)$

$= 2^x ln 2$

What is the derivative of 2^x2^x?