Home
Class 12
MATHS
Using Lagranges mean value theorem, prov...

Using Lagranges mean value theorem, prove that `|cosa-cosb|<|a-b|dot`

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE ENGLISH|Exercise SOLVED EXAMPLES|15 Videos

  • APPLICATION OF DERIVATIVES

    CENGAGE ENGLISH|Exercise MATRIX MATCH TYPE|3 Videos

  • APPLICATION OF DERIVATIVES

    CENGAGE ENGLISH|Exercise JEE PREVIOUS YEAR|10 Videos

  • 3D COORDINATION SYSTEM

    CENGAGE ENGLISH|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE ENGLISH|Exercise All Questions|142 Videos

Similar Questions

Explore conceptually related problems

Using Lagranges mean value theorem, prove that (b-a)/bltlog(b/a)lt(b-a)/a, where 0ltaltbdot

Using Lagranges mean value theorem, prove that (b-a)/bltlog(b/a)lt(b-a)/a ,where 0ltaltb

Using Lagranges mean value theorem, show that sinx 0.

Using Lagranges mean value theorem, prove that (b-a)/b < log(b/a) < (b-a)/a ,w h e r e 0 < a < bdot

Using Lagranges mean value theorem, prove that (b-a)sec^2a lt (tanb-tana) lt (b-a)sec^2b , where 0ltaltbltpi/2

Using lagrange's mean value theorem, show that (beta-alpha)/(1+beta^2) alpha > 0.

Using Lagranges mean value theorem, find a point on the curve y=sqrt(x-2) defined on the interval [2,3], where the tangent is parallel to the chord joining the end points of the curve.

Using Lagrange's Mean Value theorem , find the co-ordinates of a point on the curve y = x^(2) at which the tangent drawn is parallel to the line joining the points (1,1) and (3,9).

The value of c in Lagrange's mean value theorem for the function f(x) = |x| in the interval [-1, 1] is

The value of c in Lagrange.s mean value theorem for the function f (x) = x ^(2) + x +1 , x in [0,4] is :

CENGAGE ENGLISH-APPLICATION OF DERIVATIVES-ILLUSTRATION
  1. Find the approximate value of f(5. 001), where f(x)=x^3-7x^2+15.

    Text Solution

    |

  2. Find the approximate change in the volume V of a cube of side x meters...

    Text Solution

    |

  3. Discuss the applicability of Rolles theorem for the following funct...

    Text Solution

    |

  4. If the function f(x)=x^3-6x^2+a x+b defined on [1,3] satisfies Rolles ...

    Text Solution

    |

  5. Show that between any two roots of e^(-x)-cosx=0, there exists at leas...

    Text Solution

    |

  6. How many roots of the equation (x-1)(x-2)(x-3) + (x-1)(x-2)(x-4) + (x-...

    Text Solution

    |

  7. If 2a+3b+6c = 0, then show that the equation a x^2 + bx + c = 0 has at...

    Text Solution

    |

  8. Let f(x) be differentiable function and g(x) be twice differentiable f...

    Text Solution

    |

  9. Let f(x) be differentiable function and g(x) be twice differentiable f...

    Text Solution

    |

  10. Let P(x) be a polynomial with real coefficients, Let a , b in R ,a < ...

    Text Solution

    |

  11. The fucntion f(x)=x^(3)-6ax^(2)+5x satisfies the conditions of Lagrang...

    Text Solution

    |

  12. If f : [ 5, 5] Ris a differentiable function and if f^(prime)(x)does ...

    Text Solution

    |

  13. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

    Text Solution

    |

  14. Let f:[2,7]vec[0,oo) be a continuous and differentiable function. Then...

    Text Solution

    |

  15. Let f(x)a n dg(x) be differentiable function in (a , b), continuous at...

    Text Solution

    |

  16. Using Lagranges mean value theorem, prove that |cosa-cosb|<|a-b|dot

    Text Solution

    |

  17. Using lagrange's mean value theorem, show that (beta-alpha)/(1+beta^2...

    Text Solution

    |

  18. Prove that 1/28 lt (28) ^(1//3)-3lt 1/27

    Text Solution

    |

  19. Let f(x)a n dg(x) be two differentiable functions in Ra n df(2)=8,g(2)...

    Text Solution

    |

  20. Let f be continuous on [a , b],a >0,a n d differentiable on (a , b)dot...

    Text Solution

    |