1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    User Avatar
    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.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook