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Find the points at which the tangent to ...

Find the 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) and (-1,12)
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AAKASH SERIES-TANGENT AND NORMAL -EXERCISE 7.1 (SHORT ANSWER & LONG ANSWER QUESTIONS)
  1. Find the point on the curve y = x^(3) - 11x + 5 at which the tangent i...

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  2. Find a point on the curve y = (x – 2)^(2) at which the tangent is para...

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  3. Find the points at which the tangent to the curve y = x^(3) - 3x^(2) -...

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  4. Find the slope of the normal to the curve x=1 -a sin theta , y = b cos...

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  5. Find the slope of the normal to the curve x=a cos^(3) theta,y=a sin^(3...

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  6. Find the slope of the tangent to the curve, y=x^(3)-3x+2 at the point ...

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  7. Find the slope of the tangent to the curve y=x^(3)-x+1 at the point wh...

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  8. Find the slopr of the tangent to the curve y=(x-1)/(x-2) at x ne 2 " a...

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  9. Find the slope of the tangent to the curve y = 3x^(4) – 4x at x = 4.

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  10. Find the equation of tangent and normal to the curve y = "2.e" ^((-x)...

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  11. If the slope of the tangent to the curve x^(2)-2xy+4y=0 at the point i...

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  12. Find the equations of tangent and normal to the following curves at th...

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  13. Find the equations of tangent and normal to the following curves at th...

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  14. Find the equations of tangent and normal to the following curves at th...

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  15. Find the equations of tangent and normal to the following curves at th...

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  16. Find the equations of tangent and normal to the following curves at th...

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  17. Find the equations of tangent and normal to the following curves at th...

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  18. If the slope of the tangent to the curve y= x log x at a point on it i...

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  19. Find the equation of tangent and normal to the curve y=x^(3)+4x at (-1...

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  20. Find the equations of tangent and normal to the curve xy = 10 at (2 , ...

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