Question

PLEASE HELP. Differentiate: log(xe^x) (log has a base of 10)

Answer 1

this would be a lot easier if it were the natural log, lol.

you're going to need to use the chain rule first, then the product rule.
you should arrive at:

\[\frac{x+1}{x\ln(10)}\]

Answer 2

you can also write it as
\[\log_{10}(x)+x\log_{10}(e)\] and take the derivative of that

Answer 3

Thanks, both of you.