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# Find the requested value of the second derivative of the ...

### Resolved Question:

Find the requested value of the second derivative of the function.

f(x) =ln x/3x ; Find f"(1).
Submitted: 10 years ago.
Category: Homework
Expert:  tex-eng replied 10 years ago.
Hi,

f(x) = ln(x)/3x

f'(x) = {1/x*3x - ln(x)*3}/9x^2 = (1 - ln(x))/3x^2

f''(x) = ((-1/x)*3x^2 - (1-ln(x))*6x)/9x^4 = (-9 +6ln(x))/9x^3 = (-3 +2ln(x))/3x^2

Hope this helps and let me know if you have questions.
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Customer: replied 10 years ago.

Which should I choose:

a. 9

• b. ln 2/6
• c. - -1/6
• d. - 1
•

Expert:  tex-eng replied 10 years ago.
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