Home
Class 12
MATHS
From mean value theoren : f(b)-f(a)=(b...

From mean value theoren : `f(b)-f(a)=(b-a)f^(prime)(x_1); a lt x_1 lt b` if `f(x)=1/x` , then `x_1` is equal to

A

`sqrt(ab)`

B

`(a+b)/2`

C

`(2ab)/(a+b)`

D

`(b-a)/(b+a)`

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

From mean value theoren :f(b)-f(a)=(b-a)f'(x_(1));a

If, from mean value theorem , f'(x_(1))=(f(b)-f(a))/(b-a), then:

If A={x:(pi)/(6) lt x lt (pi)/(3)} and f(x) =cosx-x(1+x), then f(A) is equal to :

In the Mean Value theorem (f(b)-f(a))/(b-a)=f'(c) if a=0,b=(1)/(2) and f(x)=x(x-1)(x-2) the value of c is

If from Largrange's mean value theorem, we have f(x'(1))=(f'(b)-f(a))/(b-a) then,

If f(x)=log_(e)((1-x)/(1+x)),|x| lt 1, " then " f((2x)/(1+x^(2))) is equal to

If the function f(x)={{:(,-x,x lt 1),(,a+cos^(-1)(x+b),1 le xle 2):} is differentiable at x=1, then (a)/(b) is equal to

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-CRITICAL THINKING
  1. The value of c in Lagrange's mean value theorem for the function f(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. The function sinx-bx+c will be increasing in the interval (-infty,inft...

    Text Solution

    |

  20. Find the intervals in which the function f(x)=x^4-(x^3)/3 is increasin...

    Text Solution

    |