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allyfranken

  • 2 years ago

find the first partial derivative: f(x, y) = y^5 -3xy could you please explain how to do these as well?

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  1. TuringTest
    • 2 years ago
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    with respect to x or y ?

  2. amistre64
    • 2 years ago
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    the first one lol

  3. amistre64
    • 2 years ago
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    partials are just like usual except the none interested in variable is considered a constant

  4. dave444
    • 2 years ago
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    Well, there's two partial derivatives, one with respect to x and one with respect to y. To find the partial derivative with respect to x you differentiate with respect to x while holding y constant, giving: \[\frac{\partial f}{\partial x} = -3y\] Similarly, \[\frac{\partial f}{\partial y} = 5y^4-3x\]

  5. amistre64
    • 2 years ago
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    x y^2 with respect to x is: y^2 x y^2 with respect to y is: 2x y

  6. allyfranken
    • 2 years ago
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    okay thanks!

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