Home
Class 12
MATHS
If f(x)=(1)/(1-x), then the derivative o...

If `f(x)=(1)/(1-x)`, then the derivative of the composite function f[f{f(x)}]` is equal to

A

1

B

`(1)/(2)`

C

0

D

2

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 8|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 5|80 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 4|80 Videos

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

Derivative of the function f(x)= (x-1)(x-2) is

The function f(x)=|x+1| -

The function f(x) = |x+1|

If f(x) = 1/(1-x) , then f[f{f(x)}] is

Let f(x) be a function satisfying f'(x)=f(x) with f(0)=1 and g(x) be a function that satisfies f(x)+g(x)=x^(2) . Then the value of the integral int_(0)^(1) f(x)g(x) dx is equal to -

Suppose the function f(x)-f(2x) has the derivative 5 at x=1 and derivative 7 at x=2 . The derivative of the function f(x)-f(4x) at x=1 has the value equal to (a) 19 (b) 9 (c) 17 (d) 14

Find the derivative of f(x)=(1)/(x)

Find the derivative of f(x) =(x+1)/(x)

If f(x) = 1/(1+x) , then find f[f{f(x)}] .

Let f (x) be a differentiable function and f '(1) =4,f'(2) =6 where f '(c ) means the derivative of function f(x) at x=c. Then lim _(hto0)(f(2 +2h +h^(2))-f(2))/(f (1+h-h^(2))-f(1)) is equal to-

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 6
  1. If y="cosec"^(-1)((x+1)/(x-1))+cos^(-1)((x-1)/(x+1)), then (dy)/(dx...

    Text Solution

    |

  2. If y=tan^(-1)((sqrt(1+x^(2))-1)/(x)) and z=tan^(-1)((2x)/(1-x^(2))), ...

    Text Solution

    |

  3. If f(x)=(1)/(1-x), then the derivative of the composite function f[f{f...

    Text Solution

    |

  4. The value of [sum(n=1)^(10)int(-2n-1)^(-2n)sin^(27)x dx+sum(n=1)^(10)i...

    Text Solution

    |

  5. The value of the integral int x^(3)log x dx is equal to -

    Text Solution

    |

  6. The value of int(-(1)/(2))^((1)/(2)){[x]+log((1+x)/(1-x))}dx is equal...

    Text Solution

    |

  7. If I(n)=int (logx)^(n)dx, then the value of (I(n)+nI(n-1)) is -

    Text Solution

    |

  8. The value of int(0)^(oo) (x dx)/((1+x)(1+x^(2))) is equal to -

    Text Solution

    |

  9. The value of int (e^(x)dx)/((e^(x)+2)(e^(x)+1)) is equal to -

    Text Solution

    |

  10. The value of int(dx)/(cosx-sinx) is equal to -

    Text Solution

    |

  11. The value of int(0)^((pi)/(2)) ((sinx+cosx)^(2))/(sqrt(1+sin2x))dx is ...

    Text Solution

    |

  12. If int(0)^(pi) x f(sinx) dx=A int(0)^((pi)/(2))f(sinx)dx, then the va...

    Text Solution

    |

  13. The value of int ((x-x^(3))^((1)/(3)))/(x^(4)) dx is equal to -

    Text Solution

    |

  14. The value of int e^(x log a)*e^(x)dx is equal to -

    Text Solution

    |

  15. The value of int(-(pi)/(4))^((pi)/(4)) x^(3) sin^(4) x dx is equal to...

    Text Solution

    |

  16. If f(x)=cosx-cos^(2)x+cos^(3)x-…oo, then the value of int f(x) dx is...

    Text Solution

    |

  17. The value of int(0)^(1)(xdx)/((x+sqrt(1-x^(2)))sqrt(1-x^(2))) is equal...

    Text Solution

    |

  18. The value of int(0)^(2a) (f(x))/(f(x)+f(2a-x))dx is equal to -

    Text Solution

    |

  19. The value of int{(logx-1)/(1+(logx)^(2))}^(2)dx is equal to -

    Text Solution

    |

  20. The value of int(pi)^(2pi)[ 2 cos x]dx is equal to -

    Text Solution

    |