Home
Class 12
MATHS
Given f(x)=4-(1/2-x)^(2/3),g(x)={("tan"[...

Given `f(x)=4-(1/2-x)^(2/3),g(x)={("tan"[x])/x ,x!=0 1,x=0` `h(x)={x},k(x)=5^((log)_2(x+3))` Then in [0,1], lagranges mean value theorem is not applicable to (where [.] and {.} represents the greatest integer functions and fractional part functions, respectively). `f` (b) `g` (c) `k` (d) `h`

A

f, g, h

B

h, k

C

f, g

D

g, h, k

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|7 Videos
  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 6|4 Videos
  • DIFFERENTIATION

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 10|4 Videos
  • ELLIPSE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|27 Videos

Similar Questions

Explore conceptually related problems

Given f(x)=4-(1/2-x)^(2/3),g(x)={("tan"[x])/x ,x!=0 1,x=0 , h(x)={x}, k(x)=5^((log)_2(x+3)). Then in [0,1], lagranges mean value theorem is not applicable to (a) f (b) g (c) k (d) h (where [.] and {.} represents the greatest integer functions and fractional part functions, respectively).

f(x)=[x^(2)]-{x}^(2), where [.] and {.} denote the greatest integer function and the fractional part function , respectively , is

In the questions, [x]a n d{x} represent the greatest integer function and the fractional part function, respectively. Solve: [x]^2-5[x]+6=0.

If f(x) = [x] , 0<= {x} < 0.5 and f(x) = [x]+1 , 0.5<{x}<1 then prove that f (x) = -f(-x) (where[.] and{.} represent the greatest integer function and the fractional part function, respectively).

If f(x) = [x] , 0<= {x} < 0.5 and f(x) = [x]+1 , 0.5<{x}<1 then prove that f (x) = -f(-x) (where[.] and{.} represent the greatest integer function and the fractional part function, respectively).

In the questions, [x]a n d{x} represent the greatest integer function and the fractional part function, respectively. If y=3[x]+1=4[x-1]-10 , then find the value of [x+2y]dot

If f(x)=(tanx)/(x) , then find lim_(xto0)([f(x)]+x^(2))^((1)/({f(x)})) , where [.] and {.} denotes greatest integer and fractional part function respectively.

Let f(x) = log _({x}) [x] g (x) =log _({x}){x} h (x)= log _({x}) {x} where [], {} denotes the greatest integer function and fractional part function respectively. Domine of h (x) is :

Let f(x) = log _({x}) [x] g (x) =log _({x})-{x} h (x) = log _([x ]) {x} where [], {} denotes the greatest integer function and fractional part function respectively. Domine of h (x) is :

Find the range of the following functions: (where {.} and [.] represent fractional part and greatest integer part functions respectively) f(x)=1-|x-2|

ARIHANT MATHS ENGLISH-DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS -Exercise (Single Option Correct Type Questions)
  1. The graphs y=2x^(3)-4x+2and y=x^(3)+2x-1 intersect in exactly 3 distin...

    Text Solution

    |

  2. In which of the following functions is Rolles theorem applicable? (a)f...

    Text Solution

    |

  3. The figure shows a right triangle with its hypotenuse OB along the y-a...

    Text Solution

    |

  4. Number of positive integral value(s) of a for which the curve y=a^(x) ...

    Text Solution

    |

  5. Given f(x)=4-(1/2-x)^(2/3),g(x)={("tan"[x])/x ,x!=0 1,x=0 h(x)={x},k(...

    Text Solution

    |

  6. If the function f(x)=x^(4)+bx^(2)+8x+1 has a horizontal tangent and a...

    Text Solution

    |

  7. Coffee is coming out from a conical filter, with height and diameter b...

    Text Solution

    |

  8. A horse runs along a circle with a speed of 20k m//h . A lantern is at...

    Text Solution

    |

  9. Water runs into an inverted conical tent at the rate of 20 ft^3/ min a...

    Text Solution

    |

  10. Let f(x)=x^3-3x^2+2x Find f'(x)

    Text Solution

    |

  11. The x-intercept of the tangent at any arbitrary point of the curve a/(...

    Text Solution

    |

  12. If f(x) is continuous and differentible over [-2, 5] and -4lef'(x)le3 ...

    Text Solution

    |

  13. A curve is represented parametrically by the equations x=t+e^(at) and ...

    Text Solution

    |

  14. At any two points of the curve represented parametrically by x=a (2 co...

    Text Solution

    |

  15. Let F(x)=int(sinx)^(cosx)e^((1+sin^(-1)(t))dt on [0,(pi)/(2)], then

    Text Solution

    |

  16. Given f'(1)=1and f(2x)=f(x)AAxgt0.If f'(x) is differentiable, then th...

    Text Solution

    |

  17. Let f(x)a n dg(x) be two functions which are defined and differentiabl...

    Text Solution

    |

  18. The range of values of m for which the line y = mx and the curve y=(x)...

    Text Solution

    |

  19. Let S be a square with sides of length x. If we approximate the change...

    Text Solution

    |

  20. Consider f(x)=int1^x(t+1/t)dt and g(x)=f'(x) If P is a point on the cu...

    Text Solution

    |