Answer to Question #210672 in Electricity and Magnetism for Ali

Question #210672

1) If a scalar field φ(x,y,z)=3x2y-y3z2, calculate the gradient ∇φ at point M(1,-2,1).


1
Expert's answer
2021-06-29T08:17:55-0400

"\\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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