calculus
posted by Pam on .
3ln l2xl/5+2x
Please help.
this shouldl read
3ln abs 2x over 5+2x

So what do you need? the derivative?

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. 
3ln l2xl/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 
Oh, and call x the absolute value x because we are doing this for the absolute value of x

Thanks Damon....that problem was wrong also...it should have been a negative absolute. that has been my problem all along....I wanted to be sure that my formula and math was correct....and you confirmed that for me. Thanks...I guess I will have to settle for a 90...cause I have a whole nother chapter to complete by April 30th.