What is the derivative of $5^(3x)$ ?

Question

14350 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-02T16:56:23

Please see below.

$d/dx(a^x) = a^x lna$

So, $d/dx(a^u) = (a^u lna) (du)/dx$

So $d/dx(5^(3x)) = (5^(3x) ln5) (3)$

$= 3(5^(3x))ln5$

What is the derivative of 5^(3x)5^(3x)?