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Compute $ \frac{ \partial F1}{\partial y}$ & $\frac{ \partial F2}{\partial x}$.

How do I do this if $F(x,y,z) = \frac{-cr}{||r||^3}$ is one function and not a vector of $<.F1.,.F2.>$?

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1 Answer 1

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$$F(x,y,z) = \frac{-cr}{||r||^3} = \left \langle \frac{-cx}{(x^2 + y^2 + z^2)^{3/2}}, \frac{-cy}{(x^2 + y^2 + z^2)^{3/2}}, \frac{-cz}{(x^2 + y^2 + z^2)^{3/2}} \right \rangle $$

Calculate the partial derivatives of the components as asked.

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