the curve y12 x2 passes by the points 1 0 and - 1


The curve (y+1)2 =x2 passes by the points (1, 0) and (- 1, 0). Does Rolle's Theorem clarify the conclusion that  dy dx  vanishes for some value of x in the interval -1≤x≤1?

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Mathematics: the curve y12 x2 passes by the points 1 0 and - 1
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