Home
Class 12
MATHS
If f(x) = ((2 + x)/(1 + x))^(1 + x), the...

If `f(x) = ((2 + x)/(1 + x))^(1 + x)`, then `f'(0)` is equal to

A

2 log 2

B

log 2

C

3 log 2 - 1

D

2 log 2 - 1

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • JEE MOCK TEST 15

    NTA MOCK TESTS|Exercise MCQS (MATH)|25 Videos
  • JEE MOCK TEST 18

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

If f(x+1)=2x+7 then f(0) is equal to

If f(x)=(x-1)/(x+1) then f(2x) is equal to

If f(x)=(1)/(1-x), then f(f(f(x))) is equal to

If f(x) = (x-1)/(x+1) , then f(2) is equal to

If f(x) = log ((1+x)/(1-x)) , then f((2x)/(1+x^(2))) is equal to

If f'(x)=(1)/((1+x^(2))^(3//2)) and f(0)=0, then f(1) is equal to :

If 2f (x +1) +f ((1)/( x +1))=2x, then f(2) is equal to

If f'(x)=(dx)/((1+x^(2))^(3//2)) and f(0)=0. then f(1) is equal to

If f(x)=log((1+x)/(1-x)) , "then f "((2x)/(1+x^(2))) is equal to

NTA MOCK TESTS-JEE MOCK TEST 17-MATHEMATICS
  1. A plane P = 0, which is perpendicular to line (x-2)/2 = (y+2)/(2) = (z...

    Text Solution

    |

  2. If A^2 = A, then (I + A)^(4) is equal to

    Text Solution

    |

  3. The mean and variance of a data set comprising 15 observations are 15 ...

    Text Solution

    |

  4. If A = {x : x = 6^n - 5n - 1, n in N} and B = {x : x = 25(n - 1), n in...

    Text Solution

    |

  5. If f (tan x) = cos 2x , x != (2n + 1) pi/2, n in I then incorrect stat...

    Text Solution

    |

  6. The value of lim(x to pi) (tan(picos^2 x))/(sin^2 x) is equal to

    Text Solution

    |

  7. If f(x) = ((2 + x)/(1 + x))^(1 + x), then f'(0) is equal to

    Text Solution

    |

  8. Total number of lines touching atleast two circles of the family of fo...

    Text Solution

    |

  9. The locus of the middle points of the chords of the parabola y^(2)=4ax...

    Text Solution

    |

  10. A flagstaff stands vertically on a pillar, the height of the flagstaff...

    Text Solution

    |

  11. If z=3-4i then z^4-3z^3+3z^2+99z-95 is equal to

    Text Solution

    |

  12. If the roots of the equation x^(3) + bx^(2) + cx + d = 0 are in arithm...

    Text Solution

    |

  13. In the expression of (x^(4/5) + x^(-1/5))^(n), the coefficient of the ...

    Text Solution

    |

  14. In the interval (0,2 pi), sum of all the roots of the equation sin(pi ...

    Text Solution

    |

  15. There are 3 oranges, 5 apples and 6 mangoes in a fruit basket. Number ...

    Text Solution

    |

  16. If int(x^(pq-p-1))/((x^p +1)^(q))dx= 2(1+x^(-p))^(1-q)/(lambda p(q-1))...

    Text Solution

    |

  17. The smallest possible natural number n, for which the equation x^(2) -...

    Text Solution

    |

  18. If f(x) ={(lambdasqrt(2x+3),0 lex le3),(mux + 12, 3 < x le 9):} is dif...

    Text Solution

    |

  19. Let in DeltaABC coordinates of vertex A is (0,0). Equation of the inte...

    Text Solution

    |

  20. Let the maximum and minimum value of the expression 2 cos^(2) theta + ...

    Text Solution

    |