Posted by mary on .
Please help. Applying the chain rule, how do I find the derivative of f(x)=In(e^xe^x) (x>0) and then using this answer use the quotient rule to find the second derivative. I cannot do this so any answer greatly appreciated.

calculus 
Reiny,
f(x) = ln(e^x  e^x)
f'(x) = (e^x + e^x)/(e^x  e^x)
f''(x) = [(e^x  e^x)(e^x  e^x)  (e^x + e^x)(e^x + e^x)]/(e^x  e^x)^2
= [(e^x  e^x)^2  (e^x + e^x)^2]/(e^x  e^x)^2