[See Steps] Use the method of Lagrange multipliers to find the extreme values of 3 x-4 y+12 z on the spherical surface with equation
Question: Use the method of Lagrange multipliers to find the extreme values of \(3 \mathrm{x}-4 \mathrm{y}+12 \mathrm{z}\) on the spherical surface with equation \(\mathrm{x}^{2}+\mathrm{y}^{2}+\mathrm{z}^{2}=1\)
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