What is the second derivative of f(x)= ln sqrt(xe^x)?
1 Answer
Jan 6, 2016
You'll need product rule and chain rule, as well as acknowledging that the derivative of
Explanation:
- Product rule:
(ab)'=a'b+ab' - Chain rule:
(dy)/(dx)=(dy)/(dv)(dv)/(du)(du)/(dx)
renaming
Substituting
The second derivative will demand quotient rule: