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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.

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The correct Answer is:
(0,0) and (3,27)
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SUBHASH PUBLICATION-APPLICATION OF DERIVATIVES -THREE MARKS QUESTIONS WITH ANSWERS (B) TANGENTS AND NORMALS
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  6. Find the equations of the tangent and normal to the given curve at the...

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  8. Find the slope of the tangent to the curve y = x^(3) - x at x = 2.

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  9. Find the point at which the tangent to the curve y = sqrt(4x - 3) - 1 ...

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  10. Find the point on the curve y = x^(3) - 11x + 5 at which the tangent i...

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  11. Find the equation of all lines having slope -1 that are tangent to the...

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  12. Find the equation of all lines having slope -2 that are tangent to the...

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  13. Find the equation of all lines having slope 0 which are tangents to th...

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  14. Find points on the curve (x^2)/(9) + (y^2)/(16) = 1 at which the tange...

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  15. Find points on the curve (x^2)/(9) + (y^2)/(16) = 1 at which the tange...

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  16. Find the equation of the tangent line to the curve y = x^(2) - 2x + 7 ...

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  17. Find the equation of the tangent line to the curve y = x^(2) - 2x + 7 ...

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  18. Show that the tangents to the curve y = 7x^(3) + 11 at the points wher...

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  19. Find the points on the curve y = x^(3) at which the slope of the tange...

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  20. For the curve y = 4x^(3) - 2x^(5), find all the points at which the ta...

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