Home
Class 12
MATHS
For the function f(x) = e^(cos x), Rolle...

For the function `f(x) = e^(cos x)`, Rolle's theorem is:

A

applicable when `pi/2 le x le (3pi)/2`

B

applicable when `0 le x le pi/2`

C

applicable when `0 le x le pi`

D

applicable when `pi/4 le x le pi/2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2010

    WB JEE PREVIOUS YEAR PAPER|Exercise DESCRIPTIVE TYPE QEUSTIONS|10 Videos

  • QUESTION PAPER 2012

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

State Rolle's theorem.

Consider the function f(x) = cos x^(2) . Then

If the function f(x) stisfies the conditions of Rolle's theorem in [1, 2] and f'(x) is continuous in [1, 2], then int_(1)^(2)f'(x)dx is equal to -

The minimum value of the function f(x)= sin x + cos x is-

Verify Rolle's theorem for the function f(x) = sin x + cosx in the interval ole x le pi//2

Verify Rolle's theorem for the function f(x)=4^(sinx) in the interval [0,pi] .

Examine whether Rolle's theorem is applicable to the function f(x) = cot x in -pi/2le x le pi/2

the period of the function f(x) = cos 4x + tan 3x is:

Verify Mean Value Theorem for the function f(x)= x^(2) in the interval [2, 4].

Verify Rolle's theorem for the functions f(x)=sin x+cos x" in " 0 le x le (pi)/(2)

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2011-MULTIPLE CHOICE QUESTIONS
  1. The approximate value of root(5)(33) correct to 4 decimal places is

    Text Solution

    |

  2. The value of int(-2)^(2) (x cos x + sin x+1) dx is :

    Text Solution

    |

  3. For the function f(x) = e^(cos x), Rolle's theorem is:

    Text Solution

    |

  4. The general solution of the differential equation: (d^(2)y)/(dx^(2))...

    Text Solution

    |

  5. If x^(2) + y^(2) =4, then y(dy)/(dx)+x=

    Text Solution

    |

  6. int (x^(3)dx)/(1+x^(8))=

    Text Solution

    |

  7. int(pi)^(16pi) |sin x| dx=

    Text Solution

    |

  8. The degree and order of the differential equation y =x((dy)/(dx))^(2...

    Text Solution

    |

  9. f(x) ={{:(0, x=0),(x-3, x gt 0):} The function f(x) is:

    Text Solution

    |

  10. The function f(x) = ax + b is strictly increasing for all real x if

    Text Solution

    |

  11. int(cos 2x)/(cos x) dx=

    Text Solution

    |

  12. int (sin^(8)x - cos^(8)x)/(1-2sin^(2)x cos^(2)x) dx.

    Text Solution

    |

  13. The general solution of the differential equation log(e) ((dy)/(dx)) =...

    Text Solution

    |

  14. If y=A/x + Bx^(2), then x^(2) (d^(2)y)/(dx^(2)) =

    Text Solution

    |

  15. If one of the cube roots of 1 be omega, then |{:(1, 1+omega^(2), ome...

    Text Solution

    |

  16. 4 boys and 2 girls occupy seats in a row at random. Then the probabili...

    Text Solution

    |

  17. A coin is tossed again and again. If tail appears on first three tosse...

    Text Solution

    |

  18. The coefficient of x^(n) in the expansion of (e^(7x) + e^(x))/e^(3x) i...

    Text Solution

    |

  19. The sum of the series: 1/(1.2) -1/(2.3) +1/(3.4)-1/(4.5)………. infty i...

    Text Solution

    |

  20. The number (101)^(100)-1 is divisible by:

    Text Solution

    |