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anonymous

  • 5 years ago

s(x,y) = x^3 lny + 4y^2e^x find the indicated function Syy (x, y)

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  1. anonymous
    • 5 years ago
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    I think it's [-X^3/y^(2)] +[8e^(x)]

  2. anonymous
    • 5 years ago
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    Yes. it is, but how ? could you show me?

  3. anonymous
    • 5 years ago
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    yeah but give me like 10 15 minutes i'm going to grab something to eat

  4. anonymous
    • 5 years ago
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    ok, well you understand that when taking a Sy x is held constant.

  5. anonymous
    • 5 years ago
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    yes

  6. anonymous
    • 5 years ago
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    okay cool then what's the derivative of lny?

  7. anonymous
    • 5 years ago
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    1/y

  8. anonymous
    • 5 years ago
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    ?

  9. anonymous
    • 5 years ago
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    x^3 is constant and that would stay on the top correct? next, What is the derivative of 4y^2

  10. anonymous
    • 5 years ago
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    yes

  11. anonymous
    • 5 years ago
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    8y

  12. anonymous
    • 5 years ago
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    e^x is constant so, what is Sy?

  13. anonymous
    • 5 years ago
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    8e^x

  14. anonymous
    • 5 years ago
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    not exactly, the answers that we found previously will be Sy. What I mean by that it Sy :x^3/y +8ye^x. These are the answers you gave me. Do you see how it equals that? If not, we can approach it differently.

  15. anonymous
    • 5 years ago
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    So Ssubyy = -x^3/y^2 + 8e^x?

  16. anonymous
    • 5 years ago
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    remember "x" is constant so if you want plug in 7 for x just so you get use to the idea

  17. anonymous
    • 5 years ago
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    sorry yea that's the answer

  18. anonymous
    • 5 years ago
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    Yes.. why are you plugging in 7? I understand Sy = x^3/y + 8ye^x.. I think my question was to find Syy (x,y) =?

  19. anonymous
    • 5 years ago
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    oh then you just do a second partial it's the same idea as doing a second derivative and the "7" thing is just case if haven't grasped the idea that the other variable is held constant.

  20. anonymous
    • 5 years ago
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    Ic

  21. anonymous
    • 5 years ago
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    Are you in Calc 3 or DE?

  22. anonymous
    • 5 years ago
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    No.. just very basic business calc

  23. anonymous
    • 5 years ago
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    cant imagine doing the regular calc :(

  24. anonymous
    • 5 years ago
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    you have to do partials?

  25. anonymous
    • 5 years ago
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    Yes.. now to find the local extreme for max and min in 3D

  26. anonymous
    • 5 years ago
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    I have another one.. I just can't do figure out should I post it separate?

  27. anonymous
    • 5 years ago
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    sure

  28. anonymous
    • 5 years ago
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    I just fan you.. thanks for your help

  29. anonymous
    • 5 years ago
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    I tried to post it.. but it got stuck f(x,y) = x/y = y/x find fxx, fxy, and fyy

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