Answer to Question #171499 in Calculus for S.M. Asif-ul-Islam

Question #171499

If del f =2xyz³ i + x²z³ j+ 3x²y²z²k find the f(x,y,z) at f(1,-2,2)

Expert's answer

"f_x=2xyz^3,~f_y=x^2z^3,~f_z=3x^2yz^2,"

"f=x^2yz^3,"

"f(1,-2,2)=1^2\\cdot(-2)\\cdot2^3=-16."

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