Confunsing Chain Rules and more

I need a bit of help with my assignment it due monday but I am in utter confusement.

Here is my first problem I need help making I did right

someone please check this derivative for me

the function is

$\displaystyle f(x)=e^{2x}ln(10x^2+3)$

$\displaystyle f\prime(x)=(2e^{2x})[ln(10x^{2}+3)]+(e^{2x})(\frac{1}{10x^2+3})$

$\displaystyle

f\prime(x)=e^{2x}[2(ln(10x^2+3)]+(\frac{1}{10x^2+3})$

?

Also how would I begin to simplify something like this take the derivativea

$\displaystyle -\frac{x^2+x^3-\pi}{x^-3}$?