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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) and (-1,12)
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NCERT GUJARATI-APPLICATION OF DERIVATIVES-EXERCISE 6.3
  1. Find the slope of the normal to the curve x=acos^3theta,y=sin^3thetaat...

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  2. Find the slope of the normal to the curve x=1-asintheta,y=bcos^2thetaa...

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

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

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  5. Find the point on the curve y=x^3-11 x+5 at which the tangent is y"...

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  6. Find the equation of all lines having slope 1that are tangents to the...

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  7. Find the equation of all lines having slope 1that are tangents to the...

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  8. Find the equations of all lines having slope 0 which are tangent to t...

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  9. Find points on the curve x^2/9 + y^2/16 = 1 at which the tangents are ...

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  10. Find the equations of the tangent and normal to the given curves at ...

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  11. find the equation of the tangent and normal to the given curves...

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  12. Find a point on the curve y = x^(3), where the tangent to the curve is...

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  13. Find the equations of the tangent and the normal to the curve y=x^2...

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  14. Find the equations of the tangent to the given curves at the indicated...

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  15. Find the equation of the tangent line to the curve y = x^(2) – 2x +7 w...

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  16. Show that the tangents to the curve y=7x^3+11at the points where x = ...

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  17. Find the points on the curve y=x^3 at which the slope of the tan...

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  18. For the curve y=4x^3-2x^5,find all the points at which the tangent pa...

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  19. Find the points on the curve x^2+y^2-2x-3=0at which the tangents are ...

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  20. Find the equation of the normal at the point (a m^2,a m^3)for the curv...

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