Home
Class 11
MATHS
(d)/(dx) {Tan ^(-1) ((1+x)/(1- x))}=...

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

Text Solution

Verified by Experts

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

Topper's Solved these Questions

  • DIFFERENTIATION

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS |26 Videos

  • DIFFERENTIATION

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

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

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

(d)/(dx) {Tan ^(-1) ((x-a)/(1 + ax ))}=

(d)/(dx) {Tan ^(-1) ((b tan x )/(a ))}=

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

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

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

(d)/(dx) {Tan ^(-1) (( x-x^(1//2 ))/(1 + x ^(3//2)))}=

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

AAKASH SERIES-DIFFERENTIATION -EXERCISE -4.7
  1. If y=(2x+3)/(4x+5) then find y''.

    Text Solution

    |

  2. If x =a ( t - sint ) , y =a ( 1 + cos t ) find (d ^(2) y )/(dx ^(2))...

    Text Solution

    |

  3. (d)/(dx) {Tan ^(-1) ((1+x)/(1- x))}=

    Text Solution

    |

  4. (d)/(dx) {Tan ^(-1) ""(2x)/(1- x ^(2))}=

    Text Solution

    |

  5. Tan^(-1)((3x-x^(3))/(1-3x^(2)))=

    Text Solution

    |

  6. If y=e ^(-2x) sin ^(3) x, then (d^(2)y)/dx^(2)=

    Text Solution

    |

  7. Find the second derivative of e ^(x) sin x cos 2x .

    Text Solution

    |

  8. If y=128 sin ^(3) x cos ^(4) x ,then find (d^(2)y)/dx^(2)

    Text Solution

    |

  9. sin 2x.sin 3x.sin 4x

    Text Solution

    |

  10. Show that y=x+tanx satisfies the equation cos^(2)x(dy^(2))/(dx^(2))+2x...

    Text Solution

    |

  11. If y=sin(sinx) then show that y''+(tanx)y'+ycos^(2)x=0.

    Text Solution

    |

  12. If y =a cos x + (b + 2x) sin x then show that y" + y=4 cos x.

    Text Solution

    |

  13. If y=sin(sinx) then show that y''+(tanx)y'+ycos^(2)x=0.

    Text Solution

    |

  14. If y = e ^(-kx //2) (a cos nx + b sin nx) then y (2)+ky(1)+ (n^(2) + k...

    Text Solution

    |

  15. If y=ax^(n+1)+bx^(-n) then show that x^(2)y''=n(n+1)y.

    Text Solution

    |

  16. If y =6 (x +1) + (a+ b x) e ^(3x) then show that y" v + y = 4x + 8

    Text Solution

    |

  17. If x = sec theta - cos theta = y = sec ''theta - cos ^(n) theta then ...

    Text Solution

    |

  18. If y = Tan ^(-)x then show that (1 + x ^(2)) y (2) + 2xy (1) = 0

    Text Solution

    |

  19. If y = (sin ^(-1) x ) ^(2) then show that (1- x ^(2)) y (2) - xy(1) = ...

    Text Solution

    |

  20. If y = (x+ sqrt(x ^(2) -1))^(m) then (x ^(2) -1) y(2) + xy (1)=

    Text Solution

    |