Use Lagrange multipliers to find the maximum value of the function subject to the given constraint.
$$f ( x , y ) = 8 x ^ { 2 } - 4 y ^ { 2 } , 8 x ^ { 2 } + 4 y ^ { 2 } = 8$$

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The Answer of Use Lagrange multipliers to find the maximum value of the function subject to the given constraint.
$$f ( x , y ) = 8 x ^ { 2 } - 4 y ^ { 2 } , 8 x ^ { 2 } + 4 y ^ { 2 } = 8$$

Use Lagrange Multipliers to Find the Maximum Value of the Function