Home
Class 12
MATHS
Using Rolle's theorem find the point on ...

Using Rolle's theorem find the point on the curve `y=x^(2)+1,-2lexle2` where the tangent is parallel to x-axis.

Text Solution

Verified by Experts

The correct Answer is:
`2x=0`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIAL CALCULUS

    FULL MARKS|Exercise EXERCISE - 7.10|20 Videos

  • APPLICATIONS OF INTEGRATION

    FULL MARKS|Exercise ADDITIONAL PROBLEMS|35 Videos

Similar Questions

Explore conceptually related problems

Apply Rolle's theorem to find points on the curve y = -1 + cos 2x where the tangent is parallel to x axis (0 , pi)

The point of curve y= 2x^(2) - 6x -4 at which the tangent is parallel to x-axis is

At what points on the curve x^(2)+y^(2) - 2x -4y+1=0 the tangent is parallel to Y-axis.

At what point on the curve y=x^(2) on [-2, 2] is the tangent parallel to X-axis?

At what points on the curve x^(3) - 12x +18=0 the tangent is parallel to X axis.

Find the point on the curve y=x^(2)-5x+4 at which the tangent is parallel to the line 3x + y = 7.

Find the points on the curve x^(2) + y^(2) – 2x – 3 = 0 at which the tangents are parallel to the x-axis.

Show that there lies a point on the curve f(x)=x(x+3)e^(pi/2),-3lexle0 where tangent drawn is parallel to the x-axis.

FULL MARKS-APPLICATIONS OF DIFFERENTIAL CALCULUS -ADDITIONAL QUESTIONS SOLVED
  1. Verify Rolle's theorem for the following f(x) = x^(3) -3x + 3 " in "...

    Text Solution

    |

  2. Suppose that f(0) = -3, and f' (x) le 5 for all values of x how large ...

    Text Solution

    |

  3. Using Rolle's theorem find the point on the curve y=x^(2)+1,-2lexle2 w...

    Text Solution

    |

  4. Find 'C' of Lagrange's mean value theorem for the function f(x)=2x^(3)...

    Text Solution

    |

  5. Find 'C' of Lagrange's mean value theorem for the function f(x) =x^(3)...

    Text Solution

    |

  6. The Taylor's series expension of f(x)=sin x "about" x=(pi)/(2) is obta...

    Text Solution

    |

  7. Obatin the Maclaurin's series expansion for the following function . ...

    Text Solution

    |

  8. Evaluate underset(x rarr (pi)/(2))(lim) (log sin x)/((pi - 2x)^(2))

    Text Solution

    |

  9. Evaluate: underset (xrarr0) lim (cot x) ^(sin x)

    Text Solution

    |

  10. underset (x rarr infty) lim(log x^(x))/(x)

    Text Solution

    |

  11. underset(x rarr0)lim x^(2)log e^(x)

    Text Solution

    |

  12. Evaluate underset(x rarr 1)(lim) x^((1)/(x-1))

    Text Solution

    |

  13. underset (xrarr0)lim (cos x) ^(x)

    Text Solution

    |

  14. Find the absolute maximum and absolute minimum values of f on the give...

    Text Solution

    |

  15. f(x)=x^(3)-12x+1, [-3, 5]

    Text Solution

    |

  16. f(x)=(x)/(x+1), [1,2]

    Text Solution

    |

  17. Find the absolute maximum and absolute minimum values of f on the give...

    Text Solution

    |

  18. f(x)=x-2 cos x, [-pi, pi]

    Text Solution

    |

  19. Find the local maximum and minimum values of the following functions ...

    Text Solution

    |

  20. Find the local maximum and minimum values of the following functions ...

    Text Solution

    |