# Derivative of Notural Logarithm Fuction

• Aug 21st 2007, 12:09 PM
killasnake
Derivative of Notural Logarithm Fuction
Hi I am stuck with this problem. I do not know what and how to get ride of the Square Root.

Dx ln sqrt(3x-2)

How do I get rid of that? :confused:

Also,

Is there another way to write x(ln x)^2 in a more simplier term?
• Aug 21st 2007, 12:18 PM
ThePerfectHacker
Quote:

Originally Posted by killasnake
Hi I am stuck with this problem. I do not know what and how to get ride of the Square Root.

Dx ln sqrt(3x-2)

How do I get rid of that? :confused:

Also,

Is there another way to write x(ln x)^2 in a more simplier term?

$\ln \sqrt{3x-2} = \ln (3x-2)^{1/2} = \frac{1}{2} \ln (3x-2)$
• Aug 21st 2007, 12:27 PM
killasnake
oh.... duh okay Thank you
• Aug 21st 2007, 02:26 PM
topsquark
Quote:

Originally Posted by killasnake
Is there another way to write x(ln x)^2 in a more simplier term?

$x \left ( ln(x) \right )^2 = x \cdot ln^2(x)$

It's only a notational simplification. That's the best you can do.

-Dan