Derivative of Notural Logarithm Fuction

**killasnake** · August 21st 2007, 12:09 PM

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?

Also,

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

**ThePerfectHacker** · August 21st 2007, 12:18 PM

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?

Also,

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

$\ln \sqrt{3x-2} = \ln (3x-2)^{1/2} = \frac{1}{2} \ln (3x-2)$

**killasnake** · August 21st 2007, 12:27 PM

oh.... duh okay Thank you

**topsquark** · August 21st 2007, 02:26 PM

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

Thread: Derivative of Notural Logarithm Fuction