Home
Class 12
MATHS
f(x) = 1/(4x-1) in [1,4]...

`f(x) = 1/(4x-1)` in `[1,4]`

Text Solution

Verified by Experts

The correct Answer is:
Not applicable
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (MULTIPLE CHOICE QUESTIONS)|30 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (FILL IN THE BLANKS)|10 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE 5(m) (SHORT ANSWER TYPE QUESTIONS)|11 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

Similar Questions

Explore conceptually related problems

Verify the hypothesis and conclusion of Lagrange's mean-value theorem for the function f(x) = (1)/((4 x -1)), 1 le x le 4

The function f(x) = [ 1/4(3x^2 + 1), -oo< x<= 1; 5-4x, 1 < x< 4; 4-x, 4 <=x < oo is

For f to be continuous at x = f(0) is given by {:("Column- I " , " Column - II"),("(A)" f(x) = (ln(1 +4x))/x, "(p)" 1/4),("(B)" f(x)=(ln(4+x)-ln4)/x , "(q) 0"),("(C)" f(x) = 1/sinx - 1/tan x , "(r)"4),("(D)" f(x)=(1-cos^(3)x)/( x sin 2x) , "(s)" 3/4):}

If f (x) =(x+3)/(4x-5) and t =(3+ 5x)/( 4x -1), then f (t) is

The function f(x)=(1)/(4)(3x^(2)+1) if -oo<=x<=1 and f(x)=5-4x if 1<=x<=4 and f(x)=4-x if 4<=x<=oo is:

" 4.If f(x)=(x+1)/(x-1) then f(x)+f((1)/(x)) is

If f(x)=cos^(-1)(4x^(3)-3x), x in [-1,1] , then

Let f : R to and f (x) = (x (x^(4) + 1) (x+1) +x ^(4)+2)/(x^(2) +x+1), then f (x) is :

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5(m) (LONG ANSWER TYPE QUESTIONS (I))
  1. Verify Lagrange's Mean Value Theorem for the functions : f(x)=x^(1//...

    Text Solution

    |

  2. Verify Lagrange's Mean Value Theorem for the functions : f(x)=(x-1)^...

    Text Solution

    |

  3. Verify Lagrange's Mean Value Theorem for the functions : f(x)=1/x in...

    Text Solution

    |

  4. f(x) = 1/(4x-1) in [1,4]

    Text Solution

    |

  5. Verify Lagrange's Mean Value Theorem for the functions : f(x) = |x| ...

    Text Solution

    |

  6. Verify Lagrange's Mean Value Theorem for the functions : f(x)=sqrt(x...

    Text Solution

    |

  7. Verify Lagrange's Mean Value Theorem for the functions : f(x)=sqrt(2...

    Text Solution

    |

  8. Verify Lagrange's Mean Value Theorem for the functions : f(x)=log(e)...

    Text Solution

    |

  9. Verify Lagrange's Mean Value Theorem for the functions : f(x)=x" on ...

    Text Solution

    |

  10. Find 'c' of Lagrange's Mean Value Theorem for the functions : f(x)=...

    Text Solution

    |

  11. Find 'c' of Lagrange's Mean Value Theorem for the functions : f(x)=...

    Text Solution

    |

  12. Find 'c' of Lagrange's Mean Value Theorem for the functions : f(x)=...

    Text Solution

    |

  13. Verify Mean Value Theorem, if f(x)=x^3-5x^2-3xin the interval [a, b],...

    Text Solution

    |

  14. If mean value theorem holds for the function f(x)=(x-1)(x-2)(x-3), x i...

    Text Solution

    |

  15. Verify Lagrange's Mean Value Theorem for the function : f(x)={{:(2+x...

    Text Solution

    |

  16. Find a point on the parabola y=(x-2)^(2), where the tangent is paralle...

    Text Solution

    |

  17. Find a point on the graph of y=x^(3), where the tangent is parallel to...

    Text Solution

    |

  18. Find a point on the curve y=x^3-3x where the tangent is parallel to th...

    Text Solution

    |

  19. Find the co-ordinates of the point at which the tangent to the curve g...

    Text Solution

    |

  20. Use Lagrange's Mean value Theorem to determine a point P on the curve ...

    Text Solution

    |