Home
Class 12
MATHS
The domain of the derivative of the func...

The domain of the derivative of the function `f(x)={t a n^(-1)x ,if|x|lt=1 1/2(|x|-1),if|x|>1` `R-{0}` b. `R-{1}` c. `-{-1}` d. `R-{-1,1}`

A

`R - {0}`

B

`R - {1}`

C

`R - {-1}`

D

`R - {-1, 1}`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS|Exercise Exercise (Subjective Type Questions)|6 Videos

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|43 Videos

  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

The domain of the derivative of the function f(x)={t a n^(-1)x ,if|x|lt=1 and 1/2(|x|-1),if|x|>1 a.R-{0} b. R-{1} c. -{-1} d. R-{-1,1}

The domain of the derivative of the function: f(x)={{:(,tan^(-1)x,|x| le1),(,(1)/(2)(|x|-1),|x|gt1):}

The domain of the derivation of the functions f(x) = {{:(tan^(_1) x", if " |x|le1),(" is"),(1/2(|x|-1)", if "|x| gt 1):}

Find the domain and range of the function f={(x:(1)/(1-x^(2))):x in R,x!=+-1}

Draw the graph of the function f : R- {-1, 1} rarr R.f(x)=(x)/(1-|x|) .

Differentiate w.r.t.x the function sin^(-1)(x sqrt(x)),0<=x<=1

The range of the function f(x)=x/(|x|) is R-{0} b. R-{-1,1} c. {-1,1} d. none of these

Derivative of tan^(-1)((sqrt(1+x^(2))-1)/(x))w.r.t.tan^(-1)x is

The function f:R rarr R defined as f(x)=(x^(2)-x+1)/(x^(2)+x+1) is

ARIHANT MATHS-CONTINUITY AND DIFFERENTIABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
  1. For every pair of continuous functions f,g:[0,1]->R such that max{f(x)...

    Text Solution

    |

  2. Let f:R-> R and g:R-> R be respectively given by f(x) = |x| +1 and g...

    Text Solution

    |

  3. Let f(x)={x^2|(cos)pi/x|, x!=0 and 0,x=0,x in RR, then f is

    Text Solution

    |

  4. Q. For every integer n, let an and bn be real numbers. Let function f:...

    Text Solution

    |

  5. Let f:R->R be a function such that f(x+y)=f(x)+f(y),AA x, y in R.

    Text Solution

    |

  6. "If "f(x)={{:(,-x-(pi)/(2),x le -(pi)/(2)),(,-cos x,-(pi)/(2) lt x le ...

    Text Solution

    |

  7. For the fucntion f(x)=x cos ""1/x, x ge 1 which one of the following i...

    Text Solution

    |

  8. Let g(x) = ((x -1)^(n))/(log cos^(m)(x-1)),0 lt x lt 2, m and n are in...

    Text Solution

    |

  9. Let f and g be real valued functions defined on interval (-1, 1) such ...

    Text Solution

    |

  10. In the following, [x] denotes the greatest integer less than or equal ...

    Text Solution

    |

  11. If f(x)=min.(1,x^2,x^3), then

    Text Solution

    |

  12. Let f(x) = ||x|-1|, then points where, f(x) is not differentiable is/a...

    Text Solution

    |

  13. lff is a differentiable function satisfying f(1/n)=0,AA n>=1,n in I, t...

    Text Solution

    |

  14. The domain of the derivative of the function f(x)={t a n^(-1)x ,if|x|l...

    Text Solution

    |

  15. The left hand derivative of f(x)=[x]sin(pix) at x = k, k is an intege...

    Text Solution

    |

  16. Which of the following functions is differentiable at x = 0? cos (|x|...

    Text Solution

    |

  17. For x in R, f(x) = | log 2- sin x| and g(x) = f(f(x)), then

    Text Solution

    |

  18. If the function g(x)={{:(,k sqrt(x+1),0 le x le3),(,mx+2,3lt xle5):...

    Text Solution

    |

  19. If f and g are differentiable functions in [0, 1] satisfying f(0)""=""...

    Text Solution

    |

  20. The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greate...

    Text Solution

    |