Home
Class 12
MATHS
If f(x) = sin^(-1)[(2^(x+1))/(1+4^(x))] ...

If `f(x) = sin^(-1)[(2^(x+1))/(1+4^(x))]` then f' (0) =

A

2 log 2

B

`(2 log 2)/(5)`

C

log 2

D

`(4 log 2)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2018

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • MATHEMATICS

    KCET PREVIOUS YEAR PAPERS|Exercise MCQs|59 Videos

Similar Questions

Explore conceptually related problems

If f(x)=sin^(-1)[2^(x+1)/(1+4^(x))]," then "f^(1)(0)=

If f(x)=sin^(-1)((2x)/(1+x^(2))) , then f(sqrt3) is

If f(x) = (sin (e^(x-2) - 1))/(log (x - 1)) , then lim_(x rarr 2) f(x) is given by :

If f(x) = sin^(-1) sqrt(x-4) , find the range of x .

If f(x) = int (x^(2)+sin^(2)x)/(1+x^(2)) sec^(2)x dx and f(0) = 0, then f(1) =

If f(x) = (x-1)/(x+1) , then f[1/f(x)] =

If f(x) = 1+x^4 , then f(x).f((1)/(x))=

If f(x) = (x-4)/(2sqrt(x)) , then f^(')(1) is

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2019-MATHEMATICS
  1. If [x] represents the greatest integer function and f(x) = x - [x] - c...

    Text Solution

    |

  2. If f(x)={((sin3x)/(e^(2x)-1),,,x!=0),(k-2,:,x=0):} is Continuous at ...

    Text Solution

    |

  3. If f(x) = sin^(-1)[(2^(x+1))/(1+4^(x))] then f' (0) =

    Text Solution

    |

  4. If x = asec^(2) theta, y = atan^(2)theta, then (d^(2)y)/(dx^(2))

    Text Solution

    |

  5. If alpha and beta are roots of the equation x^(2) + x + 1 = 0, then al...

    Text Solution

    |

  6. The number of 4 digit numbers without repetition that can be formed us...

    Text Solution

    |

  7. The number of terms in the expansion of (x^(2) + y^(2))^(25) – (x^(2) ...

    Text Solution

    |

  8. The third term of a G.P. is 9. The product of its first five terms is

    Text Solution

    |

  9. A line cuts of equal intercepts on the coordinate axes. Find the angle...

    Text Solution

    |

  10. The eccentricity of the ellipse 9x^(2) + 25y^(2) = 225 is

    Text Solution

    |

  11. sum(r=1)^(n)(2r-1)=x then lim(n to oo) [(1^(3))/(x^(2))+(2^(3))/(x^...

    Text Solution

    |

  12. The negation of the statement “All continuous functions are differenti...

    Text Solution

    |

  13. Mean and standard deviation of 100 items are 50 and 4 respectively. Th...

    Text Solution

    |

  14. Two letters are chosen from the letters of the word 'EQUATIONS'. The p...

    Text Solution

    |

  15. f: R to R and g: [0,oo)to R is defined by f(x) = x^(2) and g(x) = sqrt...

    Text Solution

    |

  16. If A = {x|x inN, xle5}, B = {x|x in Z, x^(2) – 5x +6=0}, then the numb...

    Text Solution

    |

  17. On the set of positive rationals, a binary operation ** is defined by ...

    Text Solution

    |

  18. cos[2 sin^(-1) 3/4 + cos^(-1)3/4]

    Text Solution

    |

  19. If a + (pi)/(2) lt 2 tan^(-1) x + 3 cot^(-1) x lt b then ‘a’ and ‘b’ a...

    Text Solution

    |

  20. If |3x - 5|le2, then

    Text Solution

    |