Home
Class 12
MATHS
Lagranges's mean value theorem is not ap...

Lagranges's mean value theorem is not applicable to f(x) in [1,4] where f(X) =

A

`x^2 - 2x`

B

|x-2|

C

x|x|

D

`x^3`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    PRADEEP PUBLICATION|Exercise EXERCISE|788 Videos
  • APPLICATIONS OF INTEGRALS

    PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos
  • DETERMINANTS

    PRADEEP PUBLICATION|Exercise EXERCISE|342 Videos

Similar Questions

Explore conceptually related problems

The value of 'c' for which Lagrange's Mean value Theorem is applicable to f (x) = x^(1//2) in [0,4] is

Check whether Lagrange 's mean value theorem is applicable on : f (x) = sin x + cos x in interval [0,pi/2]

Given f(x)=4-(1/2-x)^(2/3),g(x)={("tan"[x])/x ,x!=0 1,x=0 h(x)={x},k(x)=5^((log)_2(x+3)) Then in [0,1], lagranges mean value theorem is not applicable to (where [.] and {.} represents the greatest integer functions and fractional part functions, respectively). f (b) g (c) k (d) h

Let f(x) {:{(2+x^3 for x le 1),(3x for x >1):} Verify Lagrange's mean value theorem for the function f(x) on [-1,2]

Verify Lagrange's mean value theorem for the function f(x) in the interval [3,5] where f(x) =(x-3)(x-6)(x-9)

Show that Lagrange's theorem is not applicable to the function f(x) = 1/x in [-1,1]

Does Lagrange's mean value theorem apply to f(x) = x^(1//3), - 1 le x le 1 . What conclusions can be drawn?

Verify Lagrange's mean value theorem for the following functions f(x) = sin x in the interval [pi/2, (5pi)/2]

Discuss applicability of Lagrange's mean value theorem to the function f(x) = (x-1)^(2//3) in [1,2]

Verify Lagrange's mean value theorem for the following functions f(x) = x(x - 1)^2 in the interval [0,1]

PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Let f(x)=|sinx|. Then

    Text Solution

    |

  2. The set of points where the function f given by f(x)=|2x-1|sinx is dif...

    Text Solution

    |

  3. Lt f(x) = |cos x|, then

    Text Solution

    |

  4. If u = sin^-1(2x/(1+x)^2) and v = tan^-1(2x/(1-x^2)), the du/dv is

    Text Solution

    |

  5. The derivative of cos^(-1)(2x^(2)-1) w.r.t. cos^(-1)x is

    Text Solution

    |

  6. If y=log((1-x^(2))/(1+x^(2))), then (dy)/(dx) is equal to

    Text Solution

    |

  7. d/(dx) {log(x + sqrtx^2+1)} is

    Text Solution

    |

  8. If y = (e^x - e^-x)/(e^x + e^-x), then dy/dx=

    Text Solution

    |

  9. If y = sqrt(sin x + y) , then (dy)/(dx) is equal to

    Text Solution

    |

  10. If x=t^2, y = t^3, then (d^2y)/(dx^2) is

    Text Solution

    |

  11. If y = ae^(mx) + be^-(mx), then (d^2y)/(dx^2) =

    Text Solution

    |

  12. Lagranges's mean value theorem is not applicable to f(x) in [1,4] wher...

    Text Solution

    |

  13. The value of c in Rolle's Theorem for the function f(x) = e^x sin x , ...

    Text Solution

    |

  14. The value of 'c' in Rolle's Theorem for the function f(x) =x^3 - 3x in...

    Text Solution

    |

  15. If y = tan^-1 (2x/(1-x^2)) + cos^-1 ((1-x^2)/(1+x^2)), find dy/dx when...

    Text Solution

    |

  16. If f(x) = x^2 +(x^2)/(1+x^2)+ (x^2)/((1+x^2)^2) + …. up to infty, then...

    Text Solution

    |

  17. For the function f(x) = x +1/x, x in [1,3], the value of c for mean va...

    Text Solution

    |

  18. The value of 'c' in mean Value Theorem for the function f(x) =x(x-2) i...

    Text Solution

    |

  19. Let f(x) = sqrt(1-sqrt(1-x^2) then f(x) is

    Text Solution

    |

  20. Domain of differentiability of the function f(x) = |x-2| cos x is

    Text Solution

    |