## PoofyPenguin Group Title Could someone please help me? Attachments to come... one year ago one year ago

1. PoofyPenguin Group Title

Here is the question:

2. PoofyPenguin Group Title

Here's what i got so far:

3. PoofyPenguin Group Title

I'm not sure if i did it right and i'm not sure where it's going?

4. PoofyPenguin Group Title

alright... i think i get it, but i don't get how or why the x becomes and e?

5. technopanda13 Group Title

fancy writing

6. PoofyPenguin Group Title

@technopanda13 thank you!

7. zepdrix Group Title

Haha I was thinking the same thing :D I love that multiply lil astrix XD

8. zepdrix Group Title

Hmm your steps look really good. I don't see any mistakes. For your final answer I would rewrite the ugly exponential term back as x^(4x^4 + 2), The one in front.

9. zepdrix Group Title

Oh need an explanation on the exponentiation + log thing?

10. baldymcgee6 Group Title

Yeah, it looks good to me too. But where did the e and the natural log all the sudden appear from?

11. PoofyPenguin Group Title

it was part of the hint...but i'm not sure why it works that way...

12. baldymcgee6 Group Title

13. PoofyPenguin Group Title

@baldymcgee6 have a look at the attachment! it's the one labeld problem 10

14. Fazeelayaz Group Title

X^(x2+2) is same as e^(4x2+2)lnx u can use calculator to verify

15. PoofyPenguin Group Title

@Fazeelayaz alright, but how would i go about simplifying it?

16. zepdrix Group Title

|dw:1351311147700:dw|

17. baldymcgee6 Group Title

ohh. sorry, I only saw you're answer :/

18. PoofyPenguin Group Title

@zepdrix i'm glad you like my astrix ;)

19. Fazeelayaz Group Title

simplyfying the answer or u want to know how they r equal

20. PoofyPenguin Group Title

@zepdrix great explanation! I understand it now! But how to simplify?

21. baldymcgee6 Group Title

@PoofyPenguin the reason they give you that hint is to avoid logarithmic differentiation. But for future derivatives, I would recommend learning log diffs. This is just a loophole around it! But good work, it looks good to me.

22. zepdrix Group Title

|dw:1351311341113:dw|

23. zepdrix Group Title

Ah yes logarithmic differentiation is a good skill to have c:

24. zepdrix Group Title

What you have written for f'(x) is perfect poof, you just want to rewrite the first part without the e and natural log, undo your FIRST step that you did to it.

25. Fazeelayaz Group Title

o i understand there is another way to solve take ln on both sides of ur question the equation becomes $\ln f(x)=(4x{4}+2)lnx$

26. Fazeelayaz Group Title

now differentiate both sides by x

27. technopanda13 Group Title

__━━____┓━╭━━━━━╮ ____━━____┗┓|::::::::::^━━^ ____━━____━┗|:::::::: |｡◕‿‿◕｡| ____━━____━━╰O--O----O-O-╯ here is a cat for for all you hard workers

28. zepdrix Group Title

hah :D

29. PoofyPenguin Group Title

alright! so would this be the final answer or can it be simplified more?

30. Fazeelayaz Group Title

$1/f(x)*(df(x)/dx)=...$use product rule on left side

31. PoofyPenguin Group Title

@technopanda13 cute kitty! ;P

32. zepdrix Group Title

You could get a common denominator on the inside if you wanted to, but it totally unnecessary c: Yah it looks good there.

33. Fazeelayaz Group Title

yes u have done it that's right

34. PoofyPenguin Group Title

ok! let me type it into the computer and get meh marks! :D

35. PoofyPenguin Group Title

Yayayayayayayay! I got it! Thanks so much everyone! All of you were so helpful! :D

36. zepdrix Group Title

yay team \:D/