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please help me out with the formulas im very new to this topic

derivative of d/dx= 1-2y? d/dy=2z? d/dz=-2z?

yes i see that...-y^2+2z-y^2?

oh oki yes i agree

Cool. So what about the last term then?

x-y^2

-2y^2+2x...-2(1)^2+2(x)...is is this?

Here I've got the 3 fundamental formulas from vector calculus (there are a lot more!). We use the bottom two for the question you're doing.

its zero... whats the purpose of calculating it ? what is it was 1? does that matter

would the process be different is the number wasnt zero?

can i do it then show you what i did

Go for it

from here how do i simplify

So, for starters, you would find d/dy of F3 and subtract d/dz of F2, and that's your i component.

does that mean that d/dx is muplicated by (xy-zy^2) also

Do you mean xz - zy^2? If yes, then yeah.

i take the derivate of dy (xz-y^2)...d/dz (xy+z^2).... 2y-2z?

for the i component

Isn't it d/dy (xz - zy^2)?

Your d/dz part is correct.

-2yz-2z (i)

im a bit confused for the j component...i thought it was 1-0

Your i component looks right!
The j component is d/dz (F1) - d/dx (F3). Does that help?

why d/dz-d/dx...isnt d/dx-d/dz?

no now i undertsand it! thank you

Ok sweet, you're welcome!

(z-0)j
(y-(1-2xy)k

k component looks good, but I think it's (0-z)j