1) If a scalar field φ(x,y,z)=3x2y-y3z2, calculate the gradient ∇φ at point M(1,-2,1).
"\\varphi'_x=6xy,"
"\\varphi'_y=3x^2-3y^2z^2,"
"\\varphi'_z=-2y^3z,"
"\\nabla \\varphi=6xy\\vec i+(3x^2-3y^2z^2)\\vec j-2y^3z\\vec k,"
"\\nabla \\varphi_M=-12\\vec i-9\\vec j-16\\vec k."
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