Home
Class 11
MATHS
Tan ^(-1) (sqrt((1- x )/( 1 +x ))) (wher...

`Tan ^(-1) (sqrt((1- x )/( 1 +x )))` (where `|x| lt 1)`

Text Solution

Verified by Experts

The correct Answer is:
`(-1)/(2 sqrt (1 - x ^(2)))`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    AAKASH SERIES|Exercise EXERCISE -4.6 (LONG ANSWER QUESTIONS )|16 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise EXERCISE -4.7|25 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise EXERCISE -4.6|22 Videos

  • CONTINUITY

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|34 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED)) (Integer Type Questions)|5 Videos

Similar Questions

Explore conceptually related problems

Tan ^(-1) (sqrt ((1 - sin x )/( 1 + sin x )))

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

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

tan^(-1)(x+sqrt(1+x^(2)))=

If y= tan^(-1)sqrt((1-x)/(1+x)) then dy/dx at

For -1 lt x lt 1, if f(x)= cos^(2)(tan^(-1)sqrt((1-x)/(1+x))) then f'(x)=

If y = tan^(-1) {(x)/(1 + sqrt(1 - x^(2)))} + sin { 2 tan^(-1) sqrt((1 - x)/(1 + x))}, "then" (dy)/(dx) =

The derivative of Tan ^(-1)"" (sqrt(1 + x ^(2))-1)/(x) w.r.t. Tan ^(-1) "" (2x sqrt(1-x ^(2)))/(1 - 2 x ^(2))at x =0 is

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

AAKASH SERIES-DIFFERENTIATION -EXERCISE -4.6 (SHORT TYPE ANSWER QUESTIONS )
  1. Find the derivative of the w.r.t.x (x cos x )/( sqrt (1+ x ^(2)))

    Text Solution

    |

  2. Find the derivative of the w.r.t.x (x (1+ x ^(2)))/( sqrt (1- x ^(2)...

    Text Solution

    |

  3. Find the derivative of the w.r.t.x (1- cos 2x)/( 1 + cos 2x)

    Text Solution

    |

  4. Find the derivative of the w.r.t.x log [(sin (log x ) + x log x log ...

    Text Solution

    |

  5. Find the derivative of the w.r.t.x sqrt (cos sqrtx)

    Text Solution

    |

  6. Find the derivative of the w.r.t.x log (( sqrt (e ^(x) +1 )-1)/( sqr...

    Text Solution

    |

  7. Differentiate the w.r.t.x: e ^(sin ^(-1) x)

    Text Solution

    |

  8. Differentiate the following w.r.t. x : sin (tan^(-1) e^(-x))

    Text Solution

    |

  9. Differentiate the following w.r.t. x : (cos x)/(log x), x gt 0.

    Text Solution

    |

  10. Tan ^(-1) ((1 - x )/( 1 +x ))

    Text Solution

    |

  11. Tan ^(-1) (sqrt((1- x )/( 1 +x ))) (where |x| lt 1)

    Text Solution

    |

  12. Find the derivative of Tan^(-1) sqrt((1-cos x)/(1+cos x))

    Text Solution

    |

  13. Tan ^(-1) (sqrt ((1 - sin x )/( 1 + sin x )))

    Text Solution

    |

  14. Tan ^(-1) ((a -x)/( 1 + ax) )

    Text Solution

    |

  15. If y = Tan^(-1)((3a^2x-x^3)/(a^3-3ax^2))then (dy)/(dx)=

    Text Solution

    |

  16. Tan ^(-1) ((4x - 4x ^(3))/(1 - 6x ^(2) + x ^(4)))

    Text Solution

    |

  17. Differentaite Tan ^(-1) ((x - sqrtx)/(1 + x sqrtx))

    Text Solution

    |

  18. Find the derivative of Tan ^(-1) (( sqrt (1 + x ) - sqrt ( 1 -x ))/( s...

    Text Solution

    |

  19. d/dx{Tan ^(-1) (( sqrt ( 1 + x ^(2)) - sqrt (1 - x ^(2)))/( sqrt (1 + ...

    Text Solution

    |

  20. Tan ^(-1) ((a cos x -b sin x)/( b cos x + a sin x ))

    Text Solution

    |