Home
Class 12
MATHS
In [0, 1] Lagrange's mean value theorem ...

In `[0, 1]` Lagrange's mean value theorem is not applicable to

A

`f(x) {:{(1/2-x, x lt1/2),((1/2-x)^(2), x ge1/2):}`

B

`f(x) {:{((sinx)/x, x ne0),(1,x=0):}`

C

f(x) = x|x|

D

`f(x)= |x|`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVE

    FIITJEE|Exercise Assignment Objective (level-2)|20 Videos
  • APPLICATION OF DERIVATIVE

    FIITJEE|Exercise Comprehension|8 Videos
  • APPLICATION OF DERIVATIVE

    FIITJEE|Exercise Assignment subjective (level -2)|15 Videos
  • AREA

    FIITJEE|Exercise Numerical Based|3 Videos

Similar Questions

Explore conceptually related problems

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

In [0,1] Largrange's mean value theorem is not application to

in [0,1], lagrange mean value theorem is NOT applicable to

In [0,1] Lagranges Mean Value theorem in NOT applicable to f(x)={(1)/(2)-x;x =(1)/(2) b.f(x)={(sin x)/(x),x!=01,x=0 c.f(x)=x|x| d.f(x)=|x|

In [-1,1], Lagrangel's Mean Value theorem is applicable to

Show that Lagrange's mean-value theorem is not applicable to f(x) = (1)/(x) " on " [-1, 1]

Show that Lagrange's mean-value theorem is not applicable to f(x) = |x| " on " [-1, 1]

FIITJEE-APPLICATION OF DERIVATIVE-Assignment Objective (level-1)
  1. If x=1/2 then (1-2x)/(1-x+x^(2))+ (2x-4x^(3))/(1-x+x^(4)) + (4x^(3)-8...

    Text Solution

    |

  2. If f(x) = x^(a) log x and f(0) = 0 then the value of alpha for which ...

    Text Solution

    |

  3. In [0, 1] Lagrange's mean value theorem is not applicable to

    Text Solution

    |

  4. The largest term is the sequence T(n) = n/(n^(2)+100) is

    Text Solution

    |

  5. The line 2y = ax+b is a tangent to parabola y^(2) = 4ax(a in N), then ...

    Text Solution

    |

  6. If the line ax +by+c = 0 where a, b, c inR and a, b,c notin 0 is a no...

    Text Solution

    |

  7. A straight line is drawn parallel to the x-axis to bisect an ordinate...

    Text Solution

    |

  8. A conical vessel is to be prepared out of a circular sheet of metal of...

    Text Solution

    |

  9. If f(x) = x^(3) + bx^(2) + cx +d and 0lt b^(2) lt c.then in (-infty, i...

    Text Solution

    |

  10. If f(x) = 1+ x/(1!) + x^(2)/(2!)+ x^(3)/(3!) + ------ + x^(n)/(n!) the...

    Text Solution

    |

  11. If a,b,c are positive constants such that agtb then the maximum value...

    Text Solution

    |

  12. If f(x) = x^(2) e^(-x^(2)/a^(2) is an increasing function then (for a ...

    Text Solution

    |

  13. Let f(x) = |x-1| + |x-2| + |x-3| + |x-4| AA x in R. Then

    Text Solution

    |

  14. Let P(x) be a polynomial of degree n with real coefficients and is non...

    Text Solution

    |

  15. Let p = 144 ^(sin^(2)x) + 144^( cos^(2)x), then the number of integra...

    Text Solution

    |

  16. Cosine of the angle of intersection of curves y = 3^(x-1) logx and y= ...

    Text Solution

    |

  17. The equation of curve passing through (1,1) in which the subtangent is...

    Text Solution

    |

  18. In the interval [0,1], the function x^(25)(1-x)^(75) takes its maximum...

    Text Solution

    |

  19. f:R rarr R,f(x) is differentiable such that ff((x))=k(x^(5)+x).(kne0) ...

    Text Solution

    |

  20. f:R rarr R,f(x) is differentiable such that f(x)=k(x^(5)+x).(kne0) The...

    Text Solution

    |