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## Homework Statement

Find [itex]\partial x / \partial z [/itex] at the point (1, -1, -3) if the equation [itex]xz + y \ln x - x^2 + 4 = 0[/itex] defines x as a function of the two independent variables y and z and the partial derivative exists.

## Homework Equations

## The Attempt at a Solution

[itex] x + y/x \partial x / \partial z - 2x \partial x / \partial z = 0[/itex]

Did I do the implicit differentiation correctly? I'm unsure about where to put [itex]\partial x / \partial z[/itex] when I differentiate.

Thanks!