Home
Class 12
MATHS
Let f(x) satisfy the requirements of Lag...

Let f(x) satisfy the requirements of Lagrang's mean value theorem in [0, 2]. If f(0)=0 and `|f'(x)|le1//2` for all `x in [0,2]`, then

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Let (x) satisfy the required of Largrange's Meahn value theorem in [0,3]. If f(0)=0 and |f'(x)| le (1)/(2) "for all" x in [0,2] then

If f(x) satisfies the requirements of Lagrange's mean value theorem on [0, 2] and if f(0)= 0 and f'(x)lt=1/2

Let f(x) satisfy the requirements of Lagrange's mean value theorem in [0,1], f(0) = 0 and f'(x)le1-x, AA x in (0,1) then

If f''(x) le0 "for all" x in (a,b) then f'(x)=0

Verify Lagranges mean value theorem for f(x)=2sinx+sin2x on [0,\ pi]

Let f(x) =e^(x), x in [0,1] , then a number c of the Largrange's mean value theorem is

The value of ′c′ in Lagrange's mean value theorem for f(x) = x(x−2)2 in [0,2] is-

Verify Lagranges mean value theorem for f(x)=x(x-1)(x-2) on [0,\ 1/2]

Verify Lagrange 's mean value theorem for the function f(x) = x+ (1)/(x) , 1 le x le 3

The Lagrange's mean value theorem is not applicable to f(x) in [2, 4], if f(x) is

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. if siny=xsin(a+y) and (dy)/(dx)=(A)/(1+x^(2)-2xcosa) then the value of...

    Text Solution

    |

  2. The inequality [2-x]+2[x-1]geq0 is satisfied by (where[.] denotes grea...

    Text Solution

    |

  3. Let f(x) satisfy the requirements of Lagrang's mean value theorem in [...

    Text Solution

    |

  4. If the equation (x/(1+x^2))^2+a(x/(1+x^2))+3=0 has exactly two real ro...

    Text Solution

    |

  5. Circumcentre of triangle A B C, where A(rsinx,rcosx), B (rainy, rcosy...

    Text Solution

    |

  6. An equilateral triangle has each of its sides of length 6 cm. If (x1, ...

    Text Solution

    |

  7. Integrate : int((x+sqrt(1+x^2))^(2009))/(sqrt(1+x^2))dx

    Text Solution

    |

  8. If alpha, beta are the roots of the equation x^(2)+alphax + beta = 0 s...

    Text Solution

    |

  9. Evaluate int(dx)/(tanx+cotx+secx+cosecx).

    Text Solution

    |

  10. If alpha, beta gamma are the real roots of the equation x^(3)-3px^(2)+...

    Text Solution

    |

  11. Comprehension # 'A ray M is sent along the line (x-0)/2=(y-2)/2=(z-1)...

    Text Solution

    |

  12. Equation of a straight line passing through the origin and making with...

    Text Solution

    |

  13. If the equation of the normal to the curve y=f(x) at x=0 is 3x-y+3=0 t...

    Text Solution

    |

  14. If f(x)=x^4-2x^3+3x^2-a x+b is a polynomial such that when it is divid...

    Text Solution

    |

  15. Let the co-ordinates of the two points A&B be (1, 2) and (7, 5) respec...

    Text Solution

    |

  16. Evaluate: int(x+1)/(x(1+x e^x)^2)dx

    Text Solution

    |

  17. If (log)a b=2,(log)b c=2,a n d(log)3c=3+(log)3a , then the value of c/...

    Text Solution

    |

  18. Number of integral solutions of the equation (log)(x-3)((log)(2"x"^2-2...

    Text Solution

    |

  19. Range of f(x)=sin^(-1)x+tan^(-1)x+sec^(-1)x is (pi/4,(3pi)/4) (b) [pi...

    Text Solution

    |

  20. If the matrix satisfies the equation [[1,-2], [4, 3]]+2x=[[2, 1,-2],[ ...

    Text Solution

    |