Checking My Work: Vanishing Value for \partial F/\partial x | Easy Question

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For what value does [itex]\frac{\partial F}{\partial x}[/itex] vanish?

Working is in the attached pictures, easy question just want to make sure I haven't stuffed up

Thank you =D

Mod Edit: Fixed LaTeX. Tip: leave a space between delta and whatever comes after it. If you don't, the LaTeX rendering system doesn't recognize deltaF and similar. Also, for partial derivatives, use \ partial F and \ partial x, not \ delta F and \ delta x.
 

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