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Math Help - Derivative Help!

  1. #1
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    Derivative Help!

    Differenciate this function:

    y = ((1+x^1^/^2)/(x^2^/^3))^3

    I got :

    - ((1+x^1^/^2)^2(4+x^1^/^2)))/(2x^3)

    Thanks

    Edit: Just fixed the problem, wrote it down incorrectly
    Last edited by Shout; January 19th 2011 at 05:35 PM.
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  2. #2
    A Plied Mathematician
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    Can you show your steps? I'm not sure I buy your answer.
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  3. #3
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    Hmm, I wrote out like 7 lines with tons of exponents... I'll take a pic and upload it, probably faster. Hold up just a sec.
    Last edited by Shout; January 19th 2011 at 05:52 PM.
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  4. #4
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    Quote Originally Posted by Shout View Post
    Differenciate this function:

    y = ((x+2)/(x^1^/^3))^3

    I got :

    - ((1+x^1^/^2)^2(4+x^1^/^2)))/(2x^3)

    Thanks
    Use algebra first

    \displaystyle\left(\frac{x+2}{x^{1/3}}\right)^3=\frac{(x+2)^3}{(x^{1/3})^3}=\frac{(x+2)^3}{x}
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  5. #5
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    Just realized I wrote the question down wrong, my bad
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  6. #6
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    Unfortunately, your scan is barely readable. I'm guessing your original function is

    y=\left(\dfrac{1+\sqrt{x}}{\sqrt[3]{x^{2}}}\right)^{3}.

    Is that correct? And you're to differentiate this function, right?
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  7. #7
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    Sorry =/, I took it and uploaded it to tinypic ( http://i56.tinypic.com/14t1wdw.jpg ).

    Yep thats correct
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  8. #8
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    Well, I would still follow dwsmith's advice and simplify first. What does that give you? (You can double-click on my LaTeX output to find out how to type in math. You need to use [tex] and [/ math] delimiters to get math to show up (although the closing one there should not have a space between the / and the math)).
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  9. #9
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    That gives me :


    y = (1 + x^1^/^2)^3(x^2)^-^1

    Then I used the product rule/power of a function rule
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  10. #10
    A Plied Mathematician
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    Ok, so far so good. Then what do you get next?
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