Home
Class 12
MATHS
The value of c in Lagrange's mean value ...

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

A

`2log_3e`

B

`1/2log_e3`

C

`log_3e`

D

`log_e3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|161 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 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

Verify Lagrange's Mean Value Theorem for the functions : f(x)=log_(e)x in the interval [1, 2]

Find 'c' of Lagrange's Mean Value Theorem for the functions : f(x)=logx in the interval [1, e]

Verify Lagrange's Mean Value Theorem for the functions : f(x)=1/x in the interval [-1, 2]

Find c of Lagranges mean value theorem for the function f(x)=3x^(2)+5x+7 in the interval [1,3].

Examine the validity of Lagrangel's mean value theorem for the function f(x)=x^(2/3) in the interval [-1,1] .

Examine the validity of Lagrangel's mean value theorem for the function f(x)=x^(2/3) in the interval [-1,1] .

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

Find 'c' of Lagrange's Mean Value Theorem for the functions : f(x)=e^(x) in the interval [0, 1]

Verify Lagrange's Mean value theorem for the function f(x) = x^(2) -1 in the interval [3,5].

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-CRITICAL THINKING
  1. The function f(x)=x(x+3)e^(-(1/2)x) satisfies the conditions of Rolle'...

    Text Solution

    |

  2. If f(x) = x^(a) log x and f(0) = 0 then the value of alpha for which ...

    Text Solution

    |

  3. The value of c in Lagrange's mean value theorem for the function f(...

    Text Solution

    |

  4. Varify Lagrange's mean value theorem for the function f(x)=x+(1)/(x)...

    Text Solution

    |

  5. From mean value theoren : f(b)-f(a)=(b-a)f^(prime)(x1); a lt x1 lt b...

    Text Solution

    |

  6. The value of c in (0,2) satisfying the Mean Value theorem for the func...

    Text Solution

    |

  7. In the Mean Value theorem (f(b)-f(a))/(b-a)=f'(c) if a=0 , b =1/2 a...

    Text Solution

    |

  8. IF f(x)=1-x^3-x^5 is decreasing for

    Text Solution

    |

  9. IF f(x)=2x^3+3x^2-12x+5 , then the interval in which (l1) increases an...

    Text Solution

    |

  10. The function f(x)=x/(1+|x|) is differentiable in:

    Text Solution

    |

  11. The values of x for which the function (logx)/x decreases is

    Text Solution

    |

  12. IF f(x)=1/(x+1)-log(1+x),xgt0 , then f is

    Text Solution

    |

  13. Let f(x)=x^3+3/2x^2+3x+3, then f(x) is

    Text Solution

    |

  14. The set of all points for which f(x)=x^(2)e^(-x) stricltly increasing ...

    Text Solution

    |

  15. If a<0, the function f(x)=e^(ax)+e^(-ax) is a monotonically decreasing...

    Text Solution

    |

  16. If f(x)= kx^3-9x^2+9x+3 is increasing on R then

    Text Solution

    |

  17. The function f(x)=(lambdasinx+2cosx)/(sinx+cosx) is increasing, if (a)...

    Text Solution

    |

  18. The function which is neither decreasing nor increasing in (pi/2,(3pi)...

    Text Solution

    |

  19. The function f(x)= x +1/x (x != 0) is a non-increasing function in the...

    Text Solution

    |

  20. The function (x-2)/(x+1),(x ne -1) is increasing on the interval

    Text Solution

    |