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Math Help - Cross partial differentiation

  1. #1
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    Cross partial differentiation

    If L= X^a Y^b + lamda (p1(m - X) + p2(n - Y))

    and:

    dL/dx1= aX^a-1 Y^b - lamda p1

    dL/dy1= bX^a Y^b-1 - Lamda p2

    The cross partial derivative d^2L/ Dx1Dy1 = ab(x^a-1 y^b-2)

    Where does the y^b-2 come from is the cross derivative? why is it not just y^b-1

    Any explanation would be a big help. Cheers
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  2. #2
    MHF Contributor
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    Re: Cross partial differentiation

    Hey AEJD99.

    I agree with you in that if X and Y are independent variables then the cross partial derivative should have a Y^(b-1) term instead of a Y^(b-2) term.
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