## calyne 3 years ago Differentiate the function f(x) = (lnx)/(1+ln(2x))

1. Sarkar

use quotient rule...

2. bmp

1/(x(lnx+1)^2) by using the quotient rule :-)

3. bmp

Oops, sorry

4. calyne

i'm trying it i'm not sure if i'm getting it just show me so i can check

5. Sarkar

|dw:1334417837384:dw|

6. calyne

like that helps

7. bmp

It's (1+ln2)/(x(ln2x + 1)^2)

8. calyne

how did you get that

9. Sarkar

|dw:1334418069246:dw|

10. calyne

so then [(1+ln(x)) / x] / [(1+ln(2x))^2] is what

11. calyne

i mean (1+ln(2)) / x

12. bmp

http://www.wolframalpha.com/input/?i=d%28lnx%2F%281%2Bln2x%29%29%2Fdx Take a look at show steps :-)

13. Sarkar

([(1+ln(2x)) / x]-[(lnx)/x] )/ [(1+ln(2x))^2]

14. TuringTest

super secret tip: the quotient rule is best avoided. better to rewrite the problem and use the product rule

15. Sarkar

but that involves confusion using the power of -1 ,i feel...

16. TuringTest

yes, so if you know the chain rule this shouldn't be too hard$\ln x(1+\ln(2x))^{-1}$

17. Sarkar

thanks for informin@Turingtest.

18. TuringTest

so @calyne try this with product rule$\ln x(1+\ln(2x))^{-1}$let$u=\ln x$$v=(1+\ln(2x))^{-1}$

19. calyne

oh nvm nvm sry oh god