Posted by **Pam** on Friday, April 25, 2008 at 4:18pm.

-3ln l-2xl/5+2x

Please help.

this shouldl read

-3ln abs -2x over 5+2x

- calculus -
**Damon**, Friday, April 25, 2008 at 4:48pm
So what do you need? the derivative?

- calculus -
**Pam**, Friday, April 25, 2008 at 5:03pm
The question reads:

find the derivative of the function y

I've completed several of these and keep coming up with the wrong answer...if you can complete it, and have time, please show as much as you can, so I can see what I am doing wrong. Thanks for the reply.

- calculus -
**Damon**, Friday, April 25, 2008 at 5:05pm
-3ln l-2xl/5+2x

Please help.

this shouldl read

-3ln abs -2x over 5+2x

=====================

If I assume the derivative is desired and we are talking about:

-3 ln | -2x |

-------------

(5 + 2 x)

there is no such thing as ln of a negative number, so the only effect of the absolute value is to make this work for negative as well as positive x. Do the problem for 2x

bottom*derivative of top - top*derivative of bottom

---------------------------

bottom squared

(5+2x)(-3*2/2x) + 3 ln 2x * 2

-------------------------------

25 +20 x + 4 x^2

-15/x - 6 + 6 ln 2x

--------------------

25+20x + 4 x^2

-15 - 6x + 6 x ln 2x

--------------------

25 x + 20 x^2 + 4 x^3

- calculus -
**Damon**, Friday, April 25, 2008 at 5:08pm
Oh, and call x the absolute value |x| because we are doing this for the absolute value of x

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