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Find the points on the curve y = x^(3) a...

Find the points on the curve `y = x^(3)` at which the slope of the tangent is equal to the y-coordinate of the point.

Text Solution

Verified by Experts

The correct Answer is:
(0,0) and (3,27)
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Knowledge Check

  • The point on the curve y=x^(2) , where slope of the tangent is equal to the x-coordinate of the point is :

    A
    `((-1)/(2), (1)/(2))`
    B
    (0, 0)
    C
    (2, 0)
    D
    (0, 2)

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