Question

If f(x,y,z)= How to find the derivative matrix? Is it just the partial derivatives with respect to x, y, and z?

Answer 1

This is a Calc III problem.

Answer 2

for partials, it may be best to try to emphasize the "with respect to" variable. Maybe encase it in [ ] brackets.


wrt.x

f(x,y,z) = <[x]+y-z, [x]^2+y^2, cos([x]yz)>

everything else doesnt move, remains constant, is treated as constants.

fx = <1+0-0, 2x+0, - yz sin([x]yz)>
= <1, 2x, - yz sin(xyz)>