Home
Class 12
MATHS
Verify Cauchy's mean value for the funct...

Verify Cauchy's mean value for the functions `f(x)=sinx, g(x)=cosx` in `[0,(pi)/(2)]`

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2016

    SHARAM PUBLICATION|Exercise EXERCISE|51 Videos

  • QUESTION PAPER 2018

    SHARAM PUBLICATION|Exercise EXERCISE|46 Videos

Similar Questions

Explore conceptually related problems

Verify mean value theorem for the function f(x)=sinx-sin2x in [0,pi]

Verify Caunchy's mean value theorem for the functions x^2 and x^3 in [1,2]

Verify Rolle's theorem for the function f(x)=sin 2x in [0,(pi)/(2)]

What is the maximum value of the function f(x)=sinx(1 + cos x) ?

Show that the functions are injective f(x) = sinx on [ 0, (pi)/(2)]

Find the difference between the greatest and least values of the function f(x) = sin 2x - x , on [-(pi)/(2), (pi)/(2)] .

Find the extreme point of the function f (x) = sinx cosx,x in (pi/8,pi/2) .

Verify Rolle's theorem for the function f(x) = x(x-2)^2, 0 le x le 2

SHARAM PUBLICATION-QUESTION PAPER 2017-EXERCISE
  1. If U=ln(x^3+y^3+z^3-3xyz), show that frac[deltau][deltax]+frac[deltau...

    Text Solution

    |

  2. Evaluate:underset(xto1)(lim)1/x^(1-x)

    Text Solution

    |

  3. Verify Cauchy's mean value for the functions f(x)=sinx, g(x)=cosx in [...

    Text Solution

    |

  4. Find the equation of the normal to the curve y=(logx)^2 at x=frac[1][e...

    Text Solution

    |

  5. Evaluate: overset(2)underset(-1)int{|x|+[x]}dx

    Text Solution

    |

  6. int0^ax^3(a^2-x^2)^(5/2)dx

    Text Solution

    |

  7. Evaluate int(dx)/(e^(4x)-5)

    Text Solution

    |

  8. Evaluate : intx^(2)tan^(-1)xdx.

    Text Solution

    |

  9. Find the particular solution of the following differential equation: (...

    Text Solution

    |

  10. Solve : (x + 2y^3)dy/dx = y.

    Text Solution

    |

  11. Solve the following second order equations cosec x(d^(2)y)/(dx^2)=x

    Text Solution

    |

  12. Prove that the vectors 2hati-hatj+hatk, hati-3hatj-5hatk, 3hati-4hatj-...

    Text Solution

    |

  13. If veca = 3hati+hatj-2hatk, vecb = 2hati-3hatj+4hatk then verify that ...

    Text Solution

    |

  14. Find the equation of the plane through the point (2,1,0) and passing t...

    Text Solution

    |

  15. Find the co-ordinates of the point where the perpendicular from the or...

    Text Solution

    |

  16. Find the value of a for which the plane x+y+z-a=0 will touch the spher...

    Text Solution

    |

  17. Find the feasible region of the system. 2y-xge0,6y-3xle21,xge0,yge0

    Text Solution

    |

  18. Solve the following LPP graphically Maximize, Z=20x+30y Subject to...

    Text Solution

    |

  19. Solve by Cramer’s rule 2x-y=2, 3x+y=13

    Text Solution

    |

  20. If the matrix A is such that [[1,-1],[2,3]]A=[[-4,1],[7,7]], find A.

    Text Solution

    |