Find the coordinates of the turning points of the curve C, defined by y = x^3 - x?

turning points occur where there is a local max or min





y'=3x^2 -1





3x^2-1=0


3x^2=1


x^2=1/3





x=1/sqrt3, -1/sqrt3





plug this x value into the original equation to find the y value and that is your turning point.

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