Could someone please help me? Attachments to come...

- PoofyPenguin

Could someone please help me? Attachments to come...

- schrodinger

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- PoofyPenguin

Here is the question:

##### 1 Attachment

- PoofyPenguin

Here's what i got so far:

##### 1 Attachment

- PoofyPenguin

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

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## More answers

- PoofyPenguin

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

- anonymous

fancy writing

- PoofyPenguin

@technopanda13 thank you!

- zepdrix

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

- zepdrix

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.

- zepdrix

Oh need an explanation on the exponentiation + log thing?

- baldymcgee6

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

- PoofyPenguin

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

- baldymcgee6

What does the question ask?

- PoofyPenguin

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

- anonymous

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

- PoofyPenguin

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

- zepdrix

|dw:1351311147700:dw|

- baldymcgee6

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

- PoofyPenguin

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

- anonymous

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

- PoofyPenguin

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

- baldymcgee6

@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.

- zepdrix

|dw:1351311341113:dw|

- zepdrix

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

- zepdrix

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.

- anonymous

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

- anonymous

now differentiate both sides by x

- anonymous

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

- zepdrix

hah :D

- PoofyPenguin

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

##### 1 Attachment

- anonymous

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

- PoofyPenguin

@technopanda13 cute kitty! ;P

- zepdrix

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

- anonymous

yes u have done it that's right

- PoofyPenguin

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

- PoofyPenguin

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

- zepdrix

yay team \:D/

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