Quick n easy derivative question

[shft600]

I'm trying to study for my final on friday from past exams and their keys, and one question is the integral of 3^x+3x

I get through it all fine, but then according to the key, the derivative of 3^3x is just (ln3)(3^x)

so here's my question, I thought that by chain rule, it should end up being
(ln3)(3^3x)(ln3)(3^x) shouldn't it?

 

[LCKurtz]

I'm trying to study for my final on friday from past exams and their keys, and one question is the integral of 3^x+3x

I get through it all fine, but then according to the key, the derivative of 3^3x is just (ln3)(3^x)

so here's my question, I thought that by chain rule, it should end up being
(ln3)(3^3x)(ln3)(3^x) shouldn't it?

What is the question -- 3^x+3x or 3^3x? Assuming the latter, which would usually be parsed as 3^(3x) the derivative would be what you have said.