I am in a bit over my head with a math course I joined voluntarily. This is the first question. I am learning but not as fast as it seems.

Q: If $f:(-{\displaystyle \pi }/6,{\displaystyle \pi }/6) \rightarrow \Bbb R$ is defined by $f(x)=2^x\tan(3x)$ for every $x {\displaystyle \in } (-{\displaystyle \pi }/6,{\displaystyle \pi }/6)$, then $f'(0)$ will be equal to (a) $\ln 2$ (b) $0$ (c) $2{\displaystyle \pi }$ (d) $3$

I want to know how to solve this, and what the chapter this is from and whats the exact resource that can help me learn this. I have figured this is linear approximation. Is that right ?

(And Boy, I just learned Latex, that was so much fun :)