Home
Class 12
MATHS
Verify Rolle's theorem for function f(x)...

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

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2016

    UNITED BOOK HOUSE|Exercise EXERCISE|43 Videos

  • QUESTION PAPER 2017

    UNITED BOOK HOUSE|Exercise EXERCISE|43 Videos

Similar Questions

Explore conceptually related problems

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

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 functions f(x)=x^(3)-4x in the interval -2 le x le 2

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

Verify Rolle's theorem for the function f(x) = x^2+2x-8 in [-4,2]

Verify Rolle's theorem for f(x)=x^3(x-1)^2 in the interval 0lexle1

Verify Rolle' theorem for the function f(x)= x^2-4x+3 in 1lexle3 .

Verify the truth of Rolle's theorem for the functions: f(x)=e^(-x)sinx" in " [0, pi]

Examine the applicability of lagrange's Mean value theorem for the function f(x) = x^2 + 2 in the interval [2,4]

Verify Rolle's theorem for the function f(x)= x^(2)+2x-8, x in [-4, 2] .

UNITED BOOK HOUSE-QUESTION PAPER 2015-EXERCISE
  1. If A = ([3,1],[7,5]) and A^2 = -xl+yA. Find x and y where I is a unit ...

    Text Solution

    |

  2. Without expanding,show that |[9,9,12],[1,-3,-4],[1,9,12]|=0

    Text Solution

    |

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

    Text Solution

    |

  4. Evaluate the limit lim(x->0) (e^(2x)+e^(-x)-2)/x

    Text Solution

    |

  5. If the function f(x) = {((sin x)/(kx)+k, x!=0),(2,x=0):} is continuous...

    Text Solution

    |

  6. If sin^(-1) ((x^2-y^2)/(x^2+y^2))=k, k is a constant, then prove that ...

    Text Solution

    |

  7. Evaluate the int sin sqrtxdx

    Text Solution

    |

  8. Find the differential equation of the curves given by y = Ae^(2x)+Be^(...

    Text Solution

    |

  9. Find the vector equation of the line whose Cartesian equation is given...

    Text Solution

    |

  10. If veca and vecb are two vectors such that |veca|=2,|vecb|=3 and veca....

    Text Solution

    |

  11. Find out the mean and variance of the following probability distributi...

    Text Solution

    |

  12. Find the probability that birthdays of any two members out of five me...

    Text Solution

    |

  13. Prove that tan^(-1)(1/(x+y))+tan^(-1)(y/(x^2+xy+1) )= cot^(-1)x.

    Text Solution

    |

  14. If A = ([1,4],[2,3]) then show that A^2-4A-5I = theta and using this f...

    Text Solution

    |

  15. Solve the following equations by Cramer's method: x+y=1,y+z= 2,x+z=3.

    Text Solution

    |

  16. Show that |[a+b+2c,a,b],[c,b+c+2a,b],[c,a,c+a+2b]|=2(a+b+c)^3.

    Text Solution

    |

  17. Solve for x: |[x,c+x,b+x],[c+x,x,a+x],[b+x,a+x,x]|=0

    Text Solution

    |

  18. Find (dy)/(dx) where x= cos^(-1)(8t^4-8t^2+1) y =sin^(-1)(3t-4t)^3...

    Text Solution

    |

  19. Evaluate: int(2^xdx)/sqrt(4^x-2^(x+2)+5)

    Text Solution

    |

  20. Evaluate : int (3x+5)/(x^3-x^2-x+1)dx

    Text Solution

    |