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Find points at which the tangent to the curve `y = x^(3) - 3x^(2) - 9x + 7` is parallel to the x-axis.

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The correct Answer is:
(3,-20),(-1,12)
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SUBHASH PUBLICATION-APPLICATION OF DERIVATIVES -THREE MARKS QUESTIONS WITH ANSWERS (B) TANGENTS AND NORMALS
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  3. Find points at which the tangent to the curve y = x^(3) - 3x^(2) - 9x ...

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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 equations of the tangent and normal to the given curve at the...

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  9. Find the equations of the tangent and normal to the given curve at the...

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

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

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

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

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

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

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

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

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

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

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

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