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The partial derivative

  1. Feb 22, 2015 #1
    1. The problem statement, all variables and given/known data
    Find the partial derivative of ## w = xe^\frac {y}{z} ##.

    2. Relevant equations
    N/A

    3. The attempt at a solution
    ## \frac{∂f}{∂x} = e^y/z ##
    ## \frac{∂f}{∂y} = \frac{xe^y/z}{z} ##
    ## \frac{∂f}{∂z} = (-yz^-2)(xe^yz^-1) ##

    Are theses correct? Thanks everyone.
     
    Last edited by a moderator: Feb 22, 2015
  2. jcsd
  3. Feb 22, 2015 #2

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Yes, they are- though poorly written. In Latex, to get more than one character in an exponent (or denominator or numerator, etc.) put them in "curly brackets"- { }.

    "e^{y/z}" gives [itex]e^{y/z}[/itex].

    Even better would be "e^{\frac{y}{z}}" which gives [itex]e^{\frac{y}{z}}[/itex]
     
  4. Feb 23, 2015 #3
    thanks
     
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