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Lymeng_Chhorn

  • 3 years ago

Given xz + ylnx + x^2 + 4 define x as differentiable function of two independent variable y and z. Find the value of dx/dz at point (x, y, z) = (1, -1, 3)

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  1. experimentX
    • 3 years ago
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    There are three independent variables given that f(x,y,z) = xz + ylnx + x^2 + 4 how do you intent to define x and function of independent variable 'x' and 'y'

  2. Lymeng_Chhorn
    • 3 years ago
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    i got headache with this too ><

  3. experimentX
    • 3 years ago
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    apparently you can put f(x,y,z) = some constant ... sill separating x from those values is quite difficult

  4. Lymeng_Chhorn
    • 3 years ago
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    ooop i forgot xz + ylnx + x^2+ 4 = 0

  5. experimentX
    • 3 years ago
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    still separating x out of ln(x) is quite a challenge. while you can do the last part

  6. Lymeng_Chhorn
    • 3 years ago
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    how can i separate x from lnx do you have any concept to do that?

  7. experimentX
    • 3 years ago
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    the last part requires that ... for separation of x, PDE is the best guess,

  8. experimentX
    • 3 years ago
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    apply product rule

  9. Lymeng_Chhorn
    • 3 years ago
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    xz + ylnx + x^2 + 4 = 0

  10. Lymeng_Chhorn
    • 3 years ago
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    about find the value in the last part i know how to solve it, but about define x as differentiable function of two independent variable y and z i still not clear

  11. Lymeng_Chhorn
    • 3 years ago
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    Thank you all for help

  12. experimentX
    • 3 years ago
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    |dw:1356589729748:dw|

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