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

3

B

2

C

4

D

`7/2`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise CRITICAL THINKING|129 Videos

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos

  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

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

Find the value of c in Mean Value theorem for the function f(x)=(2x+3)/(3x-2) in the interval [1,5] .

The value of c in Largrange's mean value theorem for the function f(x)=x(x-2) when x in [1,2] is

The value of c in the Lagrange's mean value theorem for the function f(x)=x^(3)-4x^(2)+8x+11 , when x in [0, 1] is :

The value of c in Lagrange's mean value theorem for the function f(x)=log_ex in the interval [1,3] is

Verify mean value theorem for the function f(x) = 1/(4x-1) in [1,4]

Find the value of c in Lagrange's mean value theorem for the function f (x) = log _(e) x on [1,2].

Find the value of c in Rolle's theorem for the function f (x) = cos 2x on [0,pi] is

Verify mean value theorem for the function f(x)=sqrt(25-x^(2)) in [1,5]

Verify mean value theorem for the function f(x) = x^(3)-2x^(2)-x+3 in [0,1]

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING
  1. In which of the following functions, Rolle's theorem is applicable?

    Text Solution

    |

  2. For the function f(x)=e^x,a=0,b=1, the value of c in mean value theore...

    Text Solution

    |

  3. The value of c in mean value theorem for the function f(x)=x^2 in [2,4...

    Text Solution

    |

  4. In the Mean value theorem f(b)-f(a)=(b-a)f'(c), if a=4, b=9 and f(...

    Text Solution

    |

  5. For the function f(x)=(x-1)(x-2) defined on [0,1/2], the value of 'c' ...

    Text Solution

    |

  6. The constant 'c' of Lagrange's mean value theorem of the function f(x)...

    Text Solution

    |

  7. If f(x)=cosx,0lexle(pi)/2 then the real number c of the mean value the...

    Text Solution

    |

  8. Let f(x) be continous on [0,6] and differentable on (0,6) Let f(0)=12 ...

    Text Solution

    |

  9. In [0, 1] Lagrange's mean value theorem is not applicable to

    Text Solution

    |

  10. The abscisssa of the points of the curve y=x^3 in the interval [-2,2],...

    Text Solution

    |

  11. If the function f(x) = x^(3) – 6ax^(2) + 5x satisfies the conditions o...

    Text Solution

    |

  12. For all real values of x, increasing function f(x) is

    Text Solution

    |

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

    Text Solution

    |

  14. For Which value of x, the function f(x)=x^2-2x is decresing?

    Text Solution

    |

  15. The function f(x)= tan x - x

    Text Solution

    |

  16. f(x)={(0,x≤0),(x-3,xgt0):} The function f(x) is

    Text Solution

    |

  17. The function f(x)=cos x -2 px is monotonically decreasing for

    Text Solution

    |

  18. Function f(x)=2x^3-9x^2+12 x+29 is monotonically decreasing when (a) x...

    Text Solution

    |

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

    Text Solution

    |

  20. The function f(x)=x^3-3x^2-24x+5 is an increasing function in the inte...

    Text Solution

    |