Hi I am fine when it comes to straightforward differntiation but when its composite I mean when you have to apply say product rule and then chain rule etc. I really haven't got a clue when to proceed with second rule. I have a problem here and I will really appriciate it if someone can explain in details:

f(x)=e^(6x) sq.rt.(1+3x^2) I don't know how to use fancy text but this should read

f(x) = e to the power of 6x multiplied by square root of 1 plus 3x squared.

I know you apply prodcut and then composite rule- but I get stuck as soon as I did prodcut rule. if someone can illustarte the whole process and logic that will make my life easier