Question:

If z=2x^3+4x^2y+8y^3 show that 6d^2z/dx^2 - d^2z/dy^2 - 9 d^2z/dxdy =0?

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If z=2x^3+4x^2y+8y^3 show that

6d^2z/dx^2 - d^2z/dy^2 - 9 d^2z/dxdy =0

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  1. oh.....my......god.....


  2. woah. thts one math question...

  3. z=2x^3+4x^2y+8y^3

    dz/dx = 6x^2+8xy

    d^2z/dx^2 = 12x+8y

    ---------

    dz/dy = 4x^2+24y^2

    d^2z/dy^2 = 48y

    --------

    dz/dx = 6x^2+8xy

    d^2z/dxdy = 8x

    -----------

    6d^2z/dx^2 - d^2z/dy^2 - 9 d^2z/dxdy

    = 6(12x+8y) - (48y) - 9( 8x)

    = 72x + 48y -48y - 72x

    = 0


  4. you seem to be troubled. I know someone that might be able to help you!
You're reading: If z=2x^3+4x^2y+8y^3 show that 6d^2z/dx^2 - d^2z/dy^2 - 9 d^2z/dxdy =0?

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