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Hokiehigh

  • 3 years ago

Multicalculus problem. let f(x,y)=(x-y)/(x+y), find the directions u and the values of Duf(-1/2,3/2) for which a) Duf(-1/2,3/2) =is largest b) Duf(-1/2,3/2) = 0 c) Duf(-1/2,3/2)=1

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  1. cinar
    • 3 years ago
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    duf?

  2. Hokiehigh
    • 3 years ago
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    directional derivative

  3. Hokiehigh
    • 3 years ago
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    any ideas

  4. cinar
    • 3 years ago
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    Df=(2y/((x+y)^2,-2x/(x+y)^2) (2y/((x+y)^2,-2x/(x+y)^2).(-1/2,3/2)

  5. cinar
    • 3 years ago
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    D=nabla

  6. cinar
    • 3 years ago
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    (2y/((x+y)^2,-2x/(x+y)^2).(-1/2sqrt2,3/2sqrt2)

  7. Hokiehigh
    • 3 years ago
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    I think I see what your saying. Thank you

  8. cinar
    • 3 years ago
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    sorry (2y/((x+y)^2,-2x/(x+y)^2).(-1/sqrt10,3/2sqrt10)

  9. cinar
    • 3 years ago
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    (2y/((x+y)^2,-2x/(x+y)^2).(-1/sqrt10,3/sqrt10)

  10. cinar
    • 3 years ago
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    (:

  11. cinar
    • 3 years ago
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    -2/sqrt10(1/(x+y)) I guess this is the answer..

  12. cinar
    • 3 years ago
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    I just looked at this web site http://tutorial.math.lamar.edu/Classes/CalcIII/DirectionalDeriv.aspx#PD_DirectDeriv_Ex2a

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