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imagreencat Group Title

Hey guys! I would just like to ask if my partial differentiating is correct. f(x,y)=xy (sin (4yx^2)) fyx = sin 4yx^2 + (8yx^2)(cos 4yx^2) + (12yx^2)(cos 4yx^2) - 32(x^4)(y^2)(sin 4yx^2) Thanks!

  • 2 years ago
  • 2 years ago

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  1. ash2326 Group Title
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    You have differentiated with respect to x or y?

    • 2 years ago
  2. imagreencat Group Title
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    Well, fyx. So I first diff with respect to y then with respect to x. :)

    • 2 years ago
  3. TuringTest Group Title
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    it's the mixed derivative? let me check...

    • 2 years ago
  4. ash2326 Group Title
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    Ok :)

    • 2 years ago
  5. TuringTest Group Title
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    \[f_x=y\sin(4yx^2)+8x^2y^2\sin(4x^2y)\cos(4x^2y)\]I'm typing it out so we can all see if I make a mistake...

    • 2 years ago
  6. imagreencat Group Title
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    Fy first. :) Then diff Fy with respect to x.

    • 2 years ago
  7. TuringTest Group Title
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    the order shouldn't matter I don't think\[f_{xy}=\sin(4yx^2)+4yx^2\cos(4yx^2)+\frac{\partial}{\partial y}[8x^2y^2\sin(4x^2y)\cos(4x^2y)]\]

    • 2 years ago
  8. imagreencat Group Title
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    Actually in some cases the order does not matter. But in others, it does. Anyway, thank you turing test! :)

    • 2 years ago
  9. TuringTest Group Title
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    oh but I have a 16...

    • 2 years ago
  10. TuringTest Group Title
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    I'll do it the other way on paper to see if that makes a diff

    • 2 years ago
  11. TuringTest Group Title
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    ok I redid it the other way and got the same answer as you sorry for the confusion

    • 2 years ago
  12. imagreencat Group Title
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    It's okay Turing Test. I'm sorry for taking some of your time. :))) But, thanks again. I appreciate your effort.

    • 2 years ago
  13. TuringTest Group Title
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    no it's my fault for messing up the first time you're welcome

    • 2 years ago
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