Home
Class 12
MATHS
If y=log cos(tan^(-1)""(e^(x)-e^(-x))/(2...

If `y=log cos(tan^(-1)""(e^(x)-e^(-x))/(2))` then y'(0) is equal to

A

`e+e^(-1)`

B

`e-e^(-1)`

C

`(e+e^(-1))/(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. AIEEE/JEE Main Papers |47 Videos

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |16 Videos

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Concept-based) Single Correct Answer Type Questions |10 Videos

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|18 Videos

  • DIFFERENTIAL EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|14 Videos

Similar Questions

Explore conceptually related problems

If 2tan^(- 1)(c o s e c(tan^(- 1)(x))-tan(cot^(- 1)(x)))=tan^(- 1)y then y is equal to

If y=tan^(-1)((2)/(e^(-x)-e^(x)))" then "(1+e^(2x))y_(1)=

If y=x^3(log)_e(1+x) , then y'(0) is equal to.......

If y=y(x) and it follows the relation e^(xy^(2))+y cos(x^(2))=5 then y'(0) 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=e^(tan x(ln sin x)) then (dy)/(dx) is equal to

MCGROW HILL PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -EXERCISE (LEVEL 1) Single Correct Answer Type Questions
  1. If z(t)=sqrt(t^(3)+1), then z'(2) is equal to

    Text Solution

    |

  2. If y=cos^(-1)((4cos x-5sinx)/(sqrt(41))), then (dy)/(dx) is equal to

    Text Solution

    |

  3. If y=log cos(tan^(-1)""(e^(x)-e^(-x))/(2)) then y'(0) is equal to

    Text Solution

    |

  4. If the function y=log""(1)/(1+x) satisfies the relation xy'+1=f(y) the...

    Text Solution

    |

  5. If y=(sin^(-1)x)/(sqrt(1-x^(2))) satisfies the relation (1-x^(2))y'-xy...

    Text Solution

    |

  6. If x siny=sin(y+a) and (dy)/(dx)=(A)/(1+x^(2)-2x cos a) then the value...

    Text Solution

    |

  7. If f(x)=cot^(-1)""(3x-x^(3))/(1-3x^(2)) and g(x)=sin^(-1)""^(1-x^(2))/...

    Text Solution

    |

  8. Let f be a function defined for every x, such that f''=-f,f(0)=0,f'(0)...

    Text Solution

    |

  9. If y=sin^(-1)(cos x) and y'(x) is identically equal to g(x) on R~{kp,k...

    Text Solution

    |

  10. If f(x)=cos(x^(2)-4[x]) for 0lt x lt 1, where [x] denotes the greatest...

    Text Solution

    |

  11. If x=a cos 2t,y=b sin^(2)t then (d^(2)y)/(dx^(2)) is equal to

    Text Solution

    |

  12. If f(x)=tan^(-1)sqrt((1+sinx)//(1-sinx)),0le x lt pi//2, then f'(pi//6...

    Text Solution

    |

  13. If 2^(x)+2^(y)=2^(x+y), then the value of (dy)/(dx) at x = y = 1 is

    Text Solution

    |

  14. If t=sin^(-1)2^(8) then (ds)/(dt) is equal to

    Text Solution

    |

  15. Let (x, y) be any point on the unit circle with centre at the origin, ...

    Text Solution

    |

  16. Let f(x) =log sinx^(2),0lt x lt pi//2 then f''(sqrt(pi)//2) is equal t...

    Text Solution

    |

  17. Let g(x) be the inverse of f(x) and f'(x)=(1)/(1+x^(5)) then (d^(2))/(...

    Text Solution

    |

  18. The derivative of f(tanx) with respect to g(sec x) at x =(pi)/(4), whe...

    Text Solution

    |

  19. If y=(log(cosx)sinx)(log(nx)cosx)+sin^(-1)""(2x)/(1+x^(2)), then (dy)/...

    Text Solution

    |

  20. If y=sin^(-1)((5x+12sqrt(1-x^(2)))/(13)), then (dy)/(dx) is equal to:

    Text Solution

    |