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Homework Help: Partial Derivitives

  1. Mar 4, 2010 #1
    1. The problem statement, all variables and given/known data

    I need to find the partial derivitives of f(x,y,z)=50-14x+3y^2-2xy (e^z)

    2. Relevant equations



    3. The attempt at a solution
    i think the x-partial would be -14+2ye^z+2xye^z... but i'm not sure and i'm confused of how to find the others!
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Mar 4, 2010 #2

    rock.freak667

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    Homework Helper

    f(x,y,z)=50-14x+3y2-2xyez

    simply when taking the partial derivative w.r.t. to a variable, you treat the rest as constants.

    so for ∂f/∂x, we would treat y and z as constants and differentiate normally.

    ∂f/∂x=∂/∂x(50)-∂/∂x(14x)+∂/∂x(3y2)-∂/∂x(2xyez)


    How did you get your answer though?


    So for ∂f/∂z, treat x and y as constants. It is similar for ∂f/∂y.
     
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