Hi Ineed help whit this as well if u gys can please help me its for math

Find the gradient of f(x, y,z)equals=left parenthesis x squared plus y squared plus z squared right parenthesis superscript negative 1 divided by 2 baseline plus ln left parenthesis x right parenthesis x2+y2+z2−1/2+ln(xyz) at the point left parenthesis negative 2 comma 1 comma negative 2 right parenthesis(−2,1,−2).

The lines shown below are parallel. if the green line has a slope of -1, what is the slope of the red line?

Any is very appreciated! (picture is provided below)not sure how to do this at all won't lie