Home
Class 12
MATHS
Find if Lagrange's Mean Value Theorem is...

Find if Lagrange's Mean Value Theorem is applicable to the function
f(x) = `x + 1/x` in [1,3]

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

State Lagrange's mean value theorem.

Is Lagrange's mean value theorem applicable to the function f(x)=4(6-x)^((2)/(3)) in the interval 5 le x le 7 ?

Examine the applicability of lagrange's Mean value theorem for the function f(x) = x^2 + 2 in the interval [2,4]

Verify Lagrange's Mean Value Theorem for the function f(x)=4(6-x)^(2)" in "5 le x le 7

Verify Langrange's mean value theorem for the following functions : f(x)=x+(1)/(x)" in "[1, 3]

Find 'c' of the Lagrange's mean value theorem for the function f(x)=3x^2+5x+7 in the interval [1,3]

Let f(x)={{:((x^p)/((sinx)q')),(0):}" if " 0ltxle(pi)/(2),(p,qinR) if x=0. Then Lagrange's mean value theorem is applicable to f(x) in closed interval [0,x].

Verify Mean Value Theorem for the function f(x)= x^(2) in the interval [2, 4].

Rolle's theorem is not applicable to the function f(x)=|x| for -2lexle2 because

Verify Langrange's mean value theorem for the following functions : f(x)=(1)/(4x-1)" in "[1, 4]

UNITED BOOK HOUSE-SET 17-EXERCISE
  1. Find the differential co-efficient of logx10 with respect to tan^-1x.

    Text Solution

    |

  2. Evaluate: int((cosx+xsinx)/(x(x+cosx)))dx.

    Text Solution

    |

  3. Find if Lagrange's Mean Value Theorem is applicable to the function f...

    Text Solution

    |

  4. Eleminating a and b, find the differential equation of all ellipse of ...

    Text Solution

    |

  5. Evaluate : underset(x rarr 0) Lt (1+3x)^((x+2)/x)

    Text Solution

    |

  6. If vec a, vec b, vec c are unit vectors satisfying the condition veca+...

    Text Solution

    |

  7. Find the value of lambda so that the plane vecr. (veci + 2vecj + 3veck...

    Text Solution

    |

  8. If P(A)=1/4,P(B)=1/3 and P(A-B)=1/6 then verify whether a and B are tw...

    Text Solution

    |

  9. An unbiased coin is tossed 6 times. Find the probability of at least f...

    Text Solution

    |

  10. Given A =[(1,-1,1),(1,-2,-2),(2,1,3)] & B = [(-4,4,4),(-7,1,3),(5 , -3...

    Text Solution

    |

  11. Show that: |[a, b-c,c+b], [a+c, b, c-a],[a-b,b+a, c]|=(a+b+c)(a^2+b^2...

    Text Solution

    |

  12. Show that int(2x+3)/(x^2 - 3x + 2) dx

    Text Solution

    |

  13. If x = sin theta and y = cos ptheta , p is constant, then find the val...

    Text Solution

    |

  14. The integral int(sec^2x)/((secx+tanx)^(9/2))dx equals (for some arbitr...

    Text Solution

    |

  15. Show that int(2x+3)/(x^2 - 3x + 2) dx

    Text Solution

    |

  16. If theta be the angle between two unit vectors vece1 and vece2 then pr...

    Text Solution

    |

  17. Evaluate (with the help of definite integral) underset(nrarr infty) ...

    Text Solution

    |

  18. Find the value of overset(pi//2)underset(0)int (1 )/((b^2 cos^2 x + a^...

    Text Solution

    |

  19. A mawn takes a step forward with probability 0.4 and backward with pro...

    Text Solution

    |

  20. A card from a pack of 52 cards is lost. From the remaining cards of ...

    Text Solution

    |