Home
Class 12
MATHS
Let y=((3^(x)-1)/(3^(x)+1)) sinx+log(e)(...

Let `y=((3^(x)-1)/(3^(x)+1)) sinx+log_(e)(1+x), x gt -1` then at `x=0, (dy)/(dx)` equals

A

1

B

0

C

`-1`

D

`-2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2011

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos
  • QUESTION PAPER 2013

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

Let y=((3^x-1)/(3^x+1))sinx+log_e(2+x),xgt-1 . Then at x=0 dy/dx equals

If y=log(1+4x) +x , then find dy/dx

Let 5f(x)+3f((1)/(x))=x + 2 and y = x f (x) . Then , (dy)/(dx) is equal to -

If y="cosec"^(-1)((x+1)/(x-1))+cos^(-1)((x-1)/(x+1)) , then (dy)/(dx) is equal to -

If y=(1)/(3x-1) , then the value of [(dy)/(dx)]_(x=0) is -

" If "y=sqrt((1-x)/(1+x))," then "(1-x^(2))(dy)/(dx) is equal to

If ln((e-1)e^(xy) +x^2)=x^2+y^2 then ((dy)/(dx))_(1,0) is equal to

If y=sec(tan^(-1)x)," then "(dy)/(dx)" at "x=1 is equal to-

If y=f((2x-1)/(x^2+1)) and f^'(x)=sinx^2 , then find (dy)/(dx)

If f(x) = log_e ((1-x)/(1+x)) , then f' (0) is

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2012-MULTIPLE CHOICE QUESTIONS
  1. Number of solutions of the equation tan x+sec x=2 cos, x, in {0, pi} i...

    Text Solution

    |

  2. The value of the integral int (0)^((pi)/(4)) (sin x+cosx)/(3+ sinx2x)d...

    Text Solution

    |

  3. Let y=((3^(x)-1)/(3^(x)+1)) sinx+log(e)(1+x), x gt -1 then at x=0, (dy...

    Text Solution

    |

  4. Maximum value of the function f(x)=(x)/(8)+(2)/(x) on the interval [1...

    Text Solution

    |

  5. For -(pi)/(2) lt x lt (3pi)/(2) the value of (d)/(dx){"tan"^(-1)(cosx)...

    Text Solution

    |

  6. The value of the integral int(-2)^(2)(1+2 sinx)e^(|x|)dx is equal to

    Text Solution

    |

  7. The maximum value of |z| when the complex number z satisfied the condi...

    Text Solution

    |

  8. If ((3)/(2)+ (sqrt(3))/(2))^(50)=3^(25)(x+iy) where x and y are real, ...

    Text Solution

    |

  9. If (z-1)/(z+1) is purely imaginary, then

    Text Solution

    |

  10. Three are 100 students in a class. In an examination, 50 of them faile...

    Text Solution

    |

  11. A vechicle registration number consists of 2 letters of English alphab...

    Text Solution

    |

  12. The number of words that can be written using all the letters of the ...

    Text Solution

    |

  13. Four speakers will address a meeting where speaker Q will always speak...

    Text Solution

    |

  14. The number of diagonals in a regular polygon of 100 sides is

    Text Solution

    |

  15. Let the coefficients of powers of x in the 2^(nd) and , 3^(rd), and 4^...

    Text Solution

    |

  16. Let f(x)+ax^(2)+bx+c , g x= px^(2)+qx+r, such that f(1)=g(1), f(2), g(...

    Text Solution

    |

  17. The sum 1xx1!xx2!+...+50xx50! equals

    Text Solution

    |

  18. Six numbers are in A.P in A.P such that their sum is 3. the first term...

    Text Solution

    |

  19. The sum of the infinite series 1+(1)/(3)+(1.3)/(3.6)+(1.3.5)/(3.6.9)+(...

    Text Solution

    |

  20. The equation x^(2)+x+a=0 and x^(2)+ax+1=0 have a common real root

    Text Solution

    |