Home
Class 12
MATHS
(d)/(d x ) { log (sqrt(1 +x )+ sqrt( 1 -...

`(d)/(d x ) { log (sqrt(1 +x )+ sqrt( 1 -x ))/(sqrt(1 + x ) - sqrt(1-x ))}=`

A

`(1)/(x sqrt( 1 - x^(2)))`

B

`(-1)/(sqrt( 1 - x^(2)))`

C

`(-1)/(xsqrt( 1 - x^(2)))`

D

none

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|114 Videos

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|3 Videos

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-4|6 Videos

  • DIFFERENTIAL EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2|15 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET -2|3 Videos

Similar Questions

Explore conceptually related problems

Find the derivative of Tan ^(-1) (( sqrt (1 + x ) - sqrt ( 1 -x ))/( sqrt (1+ x ) + sqrt (1 -x ))) w.r.t. x

If (sqrt(1 +x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))=3 then x=

(d)/(dx) { log ((sqrt(x+1) -1)/(sqrt(x + 1 ) +1 )) + ( sqrtx)/(sqrt( x +1))}=

(d)/(dx) {log (sqrt(cosec x +1)- sqrt(cosec -1))}=

(d)/(dx) {Tan ^(-1)"" (sqrt(1+ x ^(2))+ sqrt(1- x ^(2)))/( sqrt(1+ x ^(2))- sqrt(1- x ^(2)))}=

d/(dx){Cot^(-1)""(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))}

(d)/(dx) { sqrt((1- cos x )/( 1+cos x ))}=

d/dx{Tan ^(-1) (( sqrt ( 1 + x ^(2)) - sqrt (1 - x ^(2)))/( sqrt (1 + x ^(2)) + sqrt (1 - x ^(2))))} =

(d)/(dx) Tan^(-1)[(sqrt(1+sinx) - sqrt(1-sin x))/(sqrt(1+sin x) + sqrt(1-sin x))]=

DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIATION -EXERCISE 1A
  1. (d)/(dx ) { (sin x + cos x )/(sqrt(1 + sin 2x ))}=

    Text Solution

    |

  2. (d)/(dx ) {(sqrt(a^(2)+x ^(2))+ sqrt(a ^(2) -x ^(2)))/(sqrt(a ^(2) + x...

    Text Solution

    |

  3. (d)/(d x ) { log (sqrt(1 +x )+ sqrt( 1 -x ))/(sqrt(1 + x ) - sqrt(1-x ...

    Text Solution

    |

  4. (d)/(dx) { log ((sqrt(x+1) -1)/(sqrt(x + 1 ) +1 )) + ( sqrtx)/(sqrt( x...

    Text Solution

    |

  5. (d)/(dx ) { a log ((a+ sqrt(a ^(2)- x ^(2)))/(x)) - sqrt(a ^(2) - x ^(...

    Text Solution

    |

  6. (d)/(dx ) {log ((sqrt(x +a ) + sqrt(x -a ))/(sqrt(x -b) - sqrt( x -c))...

    Text Solution

    |

  7. If y = log (cos x ) sin x, then , (dy)/(dx ) =

    Text Solution

    |

  8. If f (x) = x-x ^(2) + x ^(3) - x ^(4) +….oo, |x| lt 1, then f '(x)=

    Text Solution

    |

  9. (d)/(dx) {(x +a) (x ^(2) +a ^(2)) (x ^(4)+ a^(4)) (x ^(8) + a^(8))}=

    Text Solution

    |

  10. (d)/(dx) [(x +1)(x^2+1)(x ^(4) + 1) (x ^(8) +1)]=(15 x ^(p) -16x^q+1) ...

    Text Solution

    |

  11. If y = (1 + x) (1 + x^(2)) .. (1 + x^(2n)), then ((dy)/(dx))(x = 0) is...

    Text Solution

    |

  12. If y = log (a) x + log (x ) a + log (x ) x + log (a) a then (dy)/(dx)...

    Text Solution

    |

  13. f (x) = log (e ^(x) ((x-2)/(x +2))^(3//4))impliesf'(0)=

    Text Solution

    |

  14. If y =1 (1)/(1!) + (x ^(2))/(2!)+.. then (dy)/(dx)=

    Text Solution

    |

  15. For |x| lt 1 if 1+ x+x ^(2) … then (dy)/(dx)=

    Text Solution

    |

  16. If |x| lt 1 then (d)/(dx) (1-2x + 3x ^(2) +…)=

    Text Solution

    |

  17. If |x| lt 1 then (d)/(dx) (1+2x+ 3x ^(2) +…)=

    Text Solution

    |

  18. If |x| lt 1 then (d)/(dx ) [1+ (px)/(q) + (p (p+q))/(2 !)((x)/(q))^(2...

    Text Solution

    |

  19. If y = exp {sin ^(2) + sin ^(4) x + sin ^(6) x +…} then (dy)/(dx)=

    Text Solution

    |

  20. (d)/(dx) [x+(x ^(3))/(3 ) + (x ^(5))/(5) +...]=

    Text Solution

    |