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Part $1$

Find the gradient field of the$$ function,

$$f$($x$,$y$,$z$)$equals$=$left parenthesis x squared plus $3$ y squared plus $4$ z squared right parenthesis Superscript negative $1$ divided by $2$x$2+3$y$2+4$z$21/2.$

Question content area bottom

Part $1$

The gradient field is

gradient$$fequals$=$nothing left parenthesis nothing Bold i plus nothing Bold j plus nothing Bold k right parenthesisenter your response hereenter your response herei$+$enter your response herej$+$enter your response herek.