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C3 Differentiation help

Hi guys
Im doing this paper (http://www.mei.org.uk/files/papers/2012_Jan_c3.pdf)
and stuck on 8 part ii. The gradient at P is -0.5 - found this correctly.

The last mark for 'use the result to show the curve is NOT symmetrical about y=x"
i dont quite understand what this is asking for. What does it mean?

Thanks
Any ideas guys?

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