Question

What are the steps for the derivative of 2^(3x)?

Answer 1

chain rule
u =3x
du = 3

\[\frac{d}{du} 2^u = \ln(2) 2^u\]
so answer is:
\[3 \ln(2) 2^{3x}\]

Answer 2

I found this, but the answer is different..

Answer 3

Here.. http://m.wolframalpha.com/input/?i=derivative+2%5E%283x%29&x=-988&y=-71

Answer 4

they are equal just different forms

2^3 = 8

Answer 5

like this (2^3)^x=2^(3x), just multiplying the exponents?

Answer 6

yes like that

Answer 7

ok, thank you