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in Derivatives by (36.2k points)
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Find the points on the curve y = x3 at which the slope of the tangent is equal to the y-coordinate of the point.

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Best answer

Let P(x1,y1) be the required point on the curve

y = x3  ...(i)

According to the question,

Hence, required points are (0,0) and (3,27).

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