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PoofyPenguin

  • 2 years ago

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

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  1. PoofyPenguin
    • 2 years ago
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    Here is the question:

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  2. PoofyPenguin
    • 2 years ago
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    Here's what i got so far:

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  3. PoofyPenguin
    • 2 years ago
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    I'm not sure if i did it right and i'm not sure where it's going?

  4. PoofyPenguin
    • 2 years ago
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    alright... i think i get it, but i don't get how or why the x becomes and e?

  5. technopanda13
    • 2 years ago
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    fancy writing

  6. PoofyPenguin
    • 2 years ago
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    @technopanda13 thank you!

  7. zepdrix
    • 2 years ago
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    Haha I was thinking the same thing :D I love that multiply lil astrix XD

  8. zepdrix
    • 2 years ago
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    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
    • 2 years ago
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    Oh need an explanation on the exponentiation + log thing?

  10. baldymcgee6
    • 2 years ago
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    Yeah, it looks good to me too. But where did the e and the natural log all the sudden appear from?

  11. PoofyPenguin
    • 2 years ago
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    it was part of the hint...but i'm not sure why it works that way...

  12. baldymcgee6
    • 2 years ago
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    What does the question ask?

  13. PoofyPenguin
    • 2 years ago
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    @baldymcgee6 have a look at the attachment! it's the one labeld problem 10

  14. Fazeelayaz
    • 2 years ago
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    X^(x2+2) is same as e^(4x2+2)lnx u can use calculator to verify

  15. PoofyPenguin
    • 2 years ago
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    @Fazeelayaz alright, but how would i go about simplifying it?

  16. zepdrix
    • 2 years ago
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    |dw:1351311147700:dw|

  17. baldymcgee6
    • 2 years ago
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    ohh. sorry, I only saw you're answer :/

  18. PoofyPenguin
    • 2 years ago
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    @zepdrix i'm glad you like my astrix ;)

  19. Fazeelayaz
    • 2 years ago
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    simplyfying the answer or u want to know how they r equal

  20. PoofyPenguin
    • 2 years ago
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    @zepdrix great explanation! I understand it now! But how to simplify?

  21. baldymcgee6
    • 2 years ago
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    @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
    • 2 years ago
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    |dw:1351311341113:dw|

  23. zepdrix
    • 2 years ago
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    Ah yes logarithmic differentiation is a good skill to have c:

  24. zepdrix
    • 2 years ago
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    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
    • 2 years ago
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    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
    • 2 years ago
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    now differentiate both sides by x

  27. technopanda13
    • 2 years ago
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    __━━____┓━╭━━━━━╮ ____━━____┗┓|::::::::::^━━^ ____━━____━┗|:::::::: |。◕‿‿◕。| ____━━____━━╰O--O----O-O-╯ here is a cat for for all you hard workers

  28. zepdrix
    • 2 years ago
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    hah :D

  29. PoofyPenguin
    • 2 years ago
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    alright! so would this be the final answer or can it be simplified more?

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  30. Fazeelayaz
    • 2 years ago
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    \[1/f(x)*(df(x)/dx)=...\]use product rule on left side

  31. PoofyPenguin
    • 2 years ago
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    @technopanda13 cute kitty! ;P

  32. zepdrix
    • 2 years ago
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    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
    • 2 years ago
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    yes u have done it that's right

  34. PoofyPenguin
    • 2 years ago
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    ok! let me type it into the computer and get meh marks! :D

  35. PoofyPenguin
    • 2 years ago
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    Yayayayayayayay! I got it! Thanks so much everyone! All of you were so helpful! :D

  36. zepdrix
    • 2 years ago
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    yay team \:D/

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