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: