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

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Here is the question:
1 Attachment
Here's what i got so far:
1 Attachment
I'm not sure if i did it right and i'm not sure where it's going?

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Other answers:

alright... i think i get it, but i don't get how or why the x becomes and e?
fancy writing
@technopanda13 thank you!
Haha I was thinking the same thing :D I love that multiply lil astrix XD
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.
Oh need an explanation on the exponentiation + log thing?
Yeah, it looks good to me too. But where did the e and the natural log all the sudden appear from?
it was part of the hint...but i'm not sure why it works that way...
What does the question ask?
@baldymcgee6 have a look at the attachment! it's the one labeld problem 10
X^(x2+2) is same as e^(4x2+2)lnx u can use calculator to verify
@Fazeelayaz alright, but how would i go about simplifying it?
ohh. sorry, I only saw you're answer :/
@zepdrix i'm glad you like my astrix ;)
simplyfying the answer or u want to know how they r equal
@zepdrix great explanation! I understand it now! But how to simplify?
@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.
Ah yes logarithmic differentiation is a good skill to have c:
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.
o i understand there is another way to solve take ln on both sides of ur question the equation becomes \[\ln f(x)=(4x{4}+2)lnx\]
now differentiate both sides by x
__━━____┓━╭━━━━━╮ ____━━____┗┓|::::::::::^━━^ ____━━____━┗|:::::::: |。◕‿‿◕。| ____━━____━━╰O--O----O-O-╯ here is a cat for for all you hard workers
hah :D
alright! so would this be the final answer or can it be simplified more?
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\[1/f(x)*(df(x)/dx)=...\]use product rule on left side
@technopanda13 cute kitty! ;P
You could get a common denominator on the inside if you wanted to, but it totally unnecessary c: Yah it looks good there.
yes u have done it that's right
ok! let me type it into the computer and get meh marks! :D
Yayayayayayayay! I got it! Thanks so much everyone! All of you were so helpful! :D
yay team \:D/

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