Hi, I know the following question isn't too difficult; I just need some clarification.

Find the derivative of the function:

f(x)= 3(x^5 + x)^6

would the answer to that problem be 18(x^5 + x)^5?

whereas if the problem were f(x)=3x(x^5 +x)^6 you would have to use the product rule followed by the chain rule correct?

Thanks in advance