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Chain rule for several variables: Implicit diff.

  1. Dec 9, 2008 #1
    1. The problem statement, all variables and given/known data
    Z is defined implicitly as a function of x,y by equation (z^2)x + 3xy^2 + e^((y^2)z) = 4. Find dz/dx


    2. Relevant equations
    dz/dx = -Fx/Fz


    3. The attempt at a solution
    Fx= z^2 + 3y^2
    Fz=2zx+(y^2)e^((y^2)z)
    dz/dx= (z^2+3y^2)/[2zx+(y^2)e^((y^2)z)]

    I'm not sure if I used the partial derivatives correctly, and a little unsure about the procedure as well. Someone please check that and tell me if it's correct. Thankyou
     
  2. jcsd
  3. Dec 10, 2008 #2

    tiny-tim

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    Hi soe236!

    Looks good to me. :biggrin:
     
  4. Dec 10, 2008 #3
    Thank you!
     
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