Home
Class 12
MATHS
The value of C in mean value theorem for...

The value of C in mean value theorem for the function `f(x)=x^(2)` in [2, 4] is

A

1)3

B

2)2

C

3)4

D

4)`7//2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • II PUC MATHEMATICS SUPPLEMENTARY EXAM QUESTION PAPER JULY - 2017

    SUNSTAR PUBLICATION|Exercise PART-E|2 Videos
  • K-CET-MATHEMATICS - 2014

    SUNSTAR PUBLICATION|Exercise MCQs|59 Videos

Similar Questions

Explore conceptually related problems

The value of c in Mean value theorem, for the function f(x) = x(x2) and x in [1,2] is

Find 'c' of the mean value theorem for the function f(x)=2x^(2)-10x+29 in [2,9].

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

The value of c in Rolle's theorem for the function f(x) = e^(x).sin x, x in [0, pi] is

The value of 'c' in Rolle's theorem for the function f(x)=x^(3)-3x in the interval [0,sqrt(3)] is :

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

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

The value of 'c' in Lagrange's Theorem for the function f(x)=log(sinx) in the interval [(pi)/(6), (5pi)/(6)] is :

The value of 'c' in lagrange 's theorem for the function f(x)=log (sin x) in the interval [(pi)/(6),(5pi)/(6)] is

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

SUNSTAR PUBLICATION-K-CET- MATHEMATICS - 2017-MCQs
  1. Let Delta=|(Ax,x^(2),1),(By,y^(2),1),(Cz,z^(2),1)| and Delta(1)=|(A,B,...

    Text Solution

    |

  2. If f(x)={{:(Kx^(2),"if x" le 2),(3,"if x" gt 2):}} is continuous at x ...

    Text Solution

    |

  3. The value of C in mean value theorem for the function f(x)=x^(2) in [2...

    Text Solution

    |

  4. The point on the curve y^(2)=x, where the tangent makes an angle of (p...

    Text Solution

    |

  5. The function f(x)=x^(2)+2x-5 is strictly increasing in the interval

    Text Solution

    |

  6. The rate of change of volume of a sphere with respect to its surface a...

    Text Solution

    |

  7. If y=tan^(-1)((sin x + cos x)/(cos x - sin x)), then (dy)/(dx) is equa...

    Text Solution

    |

  8. If y=|(f(x),g(x),h(x)),(1,m,n),(a,b,c)|, then (dy)/(dx) is equal to

    Text Solution

    |

  9. If sin x = (2t)/(1+t^(2)), tan y = (2t)/(1-t^(2)), then (dy)/(dx) is e...

    Text Solution

    |

  10. The derivative of cos^(-1)(2x^(2)-1) w.r.t cos^(-1) x is

    Text Solution

    |

  11. If y = log (log x) then (d^(2)y)/(dx^(2)) is equal to

    Text Solution

    |

  12. int((x+3)e^(x))/((x+4)^(2))dx is equal to

    Text Solution

    |

  13. Evalute : int (cos 2 x - cos2 alpha)/(cos x - cos alpha)dx.

    Text Solution

    |

  14. int sqrt(x^(2)+2x+5)dx is equal to

    Text Solution

    |

  15. int(0)^(pi//2)(tan^(7)x)/(cot^(7)x + tan^(7)x)dx is equal to

    Text Solution

    |

  16. int(-5)^(5)|x+2|dx is equal to

    Text Solution

    |

  17. int(-pi//2)^(pi//2)(dx)/(e^(sin x)+1) is equal to

    Text Solution

    |

  18. int(0)^(pi//2)(1)/(a^(2).sin^(2)x+b^(2).cos^(2)x)dx is equal to

    Text Solution

    |

  19. Find the area of the region bounded by the curve y = x^(2) and the lin...

    Text Solution

    |

  20. Area of the region bounded by the curve y = cos x, x = 0 and x = pi is

    Text Solution

    |