# 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: