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Math Help - implicit differientiation

  1. #1
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    implicit differientiation

    Use implicit differentiation to find dz/dx and dz/dy.
    xyz = cos(x + y + z)
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  2. #2
    MHF Contributor Calculus26's Avatar
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    We are looking for partial derivatives let dz/dx be the partial derivative of z wrt x



    For dz/dx think of z = f(x,y)

    xyz = cos(x + y + z)

    yz + xydz/dx = sin(x+y+z)(1 + dz/dx)


    For dz/dy think y = f(x,z)

    yz + xzdz/dx = sin(x+y+z)(1 + dz/dx)
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