Home
Class 12
MATHS
If the function f(x) defined as f(x) = (...

If the function f(x) defined as `f(x) = (x^(100))/(100) + (x^(99))/(99) +….+(x^(2))/(2) + x + 1`, then `f'(0) =`

A

`100 f^(')(0)`

B

100

C

1

D

minus 1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|272 Videos

  • COMMON ENTRANCE TEST - 2017

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

If the function f(x) defined by f(x)=(x^(100))/(100)+(x^(99))/(99)+.....+(x^(2))/(2)+x+1 , then f'(0)=

The function f(x) is defined by f(x) = (x+2)e^(-x) is

For the function f(x)=(x^(100))/(100)+(x^(99))/(99)+….+(x^(2))/(2)+x+1. Prove that f'(1)=100f'(0) .

A function f:[0,oo)to[0,oo) defined as f(x)=(x)/(1+x) is :

If f(x) = (x ^(100))/( 100) +( x^(99))/( 99) +( x^(98))/( 98) +---+ (x^(2))/( 2) + x+1 then prove that f^(1) =100 f^(1) (0 )

Let f(x+(1)/(x))=x^(2)+(1)/(x^(2)), x ne 0, then f(x)=

The domain of the function f defined by : f(x)=(1)/(sqrt(x-|x|)) is :

The domain of the function f defined by f(x)=(x^(2)+2x+1)/(x^(2)-x-6) is given by :

HIMALAYA PUBLICATION-COMMON ENTRANCE TEST - 2014-QUESTION BANK
  1. If the function f(x) satisfies lim(x rarr 1) (f(x) - 2)/(x^(2) - 1) = ...

    Text Solution

    |

  2. The tangent to the curve y=x^(3)+1 at(1, 2) makes an angle theta with ...

    Text Solution

    |

  3. If the function f(x) defined as f(x) = (x^(100))/(100) + (x^(99))/(99)...

    Text Solution

    |

  4. If f(x) = f(pi + e - x) and inte^(pi) f(x) dx = 2/(e + pi), then inte^...

    Text Solution

    |

  5. If linear function f(x) and g(x) satisfy int[(3x-1)cosx+(1-2x)sinx]dx=...

    Text Solution

    |

  6. The value of the integral int(-pi//4)^(pi//4) log (sec theta - tan the...

    Text Solution

    |

  7. int(sin 2x)/(sin^(2)x + 2 cos^(2)x) dx =

    Text Solution

    |

  8. Let S be the set of all real numbers. A relation R has been defined on...

    Text Solution

    |

  9. For any two real numbers, an operation * defined by a *b = 1 + ab is

    Text Solution

    |

  10. Let f:NtoNdefined by : f(n)={:{((n+1)/(2) "if n is odd"),((n)/(2) "if ...

    Text Solution

    |

  11. Suppose f(x)=(x+1)^(2) for xge-1. If g(x) is the function whose graph ...

    Text Solution

    |

  12. The domain of the function f(x)=sqrt(cos x) is

    Text Solution

    |

  13. In a class of 60 students, 25 students play cricket and 20 students pl...

    Text Solution

    |

  14. Given 0 le x le (1)/(2) then the value of tan[sin^(-1){(x)/(sqrt(2)) +...

    Text Solution

    |

  15. The value of sin(2 sin^(-1) 0.8) is equal to

    Text Solution

    |

  16. If A is 3 xx 4 matrix and B is a matrix such that A^(1)B and B A^(1) a...

    Text Solution

    |

  17. The symmetric part of the matrix A = ((1,2,4),(6,8,2),(2,-2,7)) is

    Text Solution

    |

  18. If A is a matrix of order 3, such that A(adj A) = 101, then |adj A| =

    Text Solution

    |

  19. Consider the following statements : (a) If any two rows or columns o...

    Text Solution

    |

  20. The inverse of the matrix A=[(2,0,0),(0,3,0),(0,0,4)] is

    Text Solution

    |