Home
Class 11
MATHS
Differentaite Tan ^(-1) ((x - sqrtx)/(1 ...

Differentaite `Tan ^(-1) ((x - sqrtx)/(1 + x sqrtx))`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/( 1 + x ^(2)) - (1)/( (1 + x ) 2 sqrtx)`
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

Diferentiate sin ^(-1) sqrtx w.r.t.x.

(d)/(dx) {Tan ^(-1) ""(sqrtx + sqrta)/(1- sqrtax)}=

Find the independent of x in ((sqrtx)/(3) - (4)/(xsqrtx))^12

(sqrtx+y)^2 =

int_(2)^(3)(sqrtx)/(sqrt(5-x)+sqrtx)dx

(sqrtx-sqrty)(sqrtx+sqrty) =…….

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

    |