Q20 of 46 Page 1

Find the points on the curve y = x3 at which the slope of the tangent is equal to the y-coordinate of the point.

Given a curve …(1)


Now according to the question:


⇒


⇒….(2)


⇒ from (1) and (2)


⇒


⇒


Hence the points at which the slope of the tangent is equal to the y-coordinate are (0,0) and (3,27).


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