Please help me prove that it doesn't exist any other intersect point than P(x0, x0^2) on the y=2^2 curve, for the tangent line in the very same point.(adsbygoogle = window.adsbygoogle || []).push({});

My work:

y=x^2

l(x)=f¨(x0)(x-x0)+x0^2

= 2x0(x-x0)+x0^2

= 2x0x-2x0^2 + x0^2

= 2x0x - x0^2

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# Easy proof

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