Home
Class 12
MATHS
The derivative of tan^(-1)((sqrt(1+x^2)-...

The derivative of `tan^(-1)((sqrt(1+x^2)-1)/x)` with respect to `tan^(-1)((2xsqrt(1-x^2))/(1-2x^2))` at `x=0` is `1/8` (b) `1/4` (c) `1/2` (d) 1

A

`1//8`

B

`1//4`

C

`1//2`

D

1

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • DIFFERENTIATION

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Solved Mcqs|92 Videos

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|17 Videos

  • ELLIPSE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

Similar Questions

Explore conceptually related problems

Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) with respect to tan^(-1)x ,x!=0.

Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) with respect to tan^(-1)x ,x!=0.

Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) with respect to sin^(-1)((2x)/(1+x^2)),

Differentiate sin^(-1)(2xsqrt(1-x^2)) with respect to tan^(-1)(x/(sqrt(1-x^2))) .

Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) with respect to tan^(-1)x , when x!=0.

Find the derivative of tan^(-1) "" (sqrt(1 + x^(2)) - 1)/( x) with respect to tan^(-1) ( 2 x sqrt( 1 - x^(2)))/(1 - 2 x ^(2)) at x = 0

Prove 2sin^(-1)x=tan^(-1)((2xsqrt(1-x^2))/(1-2x^2))

Differentiate tan^(-1)(( sqrt(1+x^(2))-1)/(x))

Differentiate: tan^(-1)""(sqrt(1-x^2))/x with respect to cos^(-1)(2xsqrt(1-x^2)) , when x ne0

Differentiate tan^(-1) ((sqrt(1+x^(2))-1)/(x)) w.r.t. tan^(-1) ((x)/(sqrt(1-x^(2)))) .

OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIATION-Exercise
  1. If y^(2)=p(x) is a polynomial of degree 3, then 2(d)/(dx)(y^(3)(d^(2)y...

    Text Solution

    |

  2. if 2^x+2^y=2^(x+y) then the value of (dy)/(dx) at x=y=1

    Text Solution

    |

  3. The derivative of tan^(-1)((sqrt(1+x^2)-1)/x) with respect to tan^(-1)...

    Text Solution

    |

  4. If y=tan^(-1){((log)e(e//x^2))/((log)e(e x^2))}+tan^(-1)((3+2\ (log)e ...

    Text Solution

    |

  5. The expression of (dy)/(dx) of the function y=a^(x^(a^(x...^(oo)))), i...

    Text Solution

    |

  6. If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y), then (dy)/(dx) equals

    Text Solution

    |

  7. If y=e^(1+log(e)x), then the value of (dy)/(dx) is equal to

    Text Solution

    |

  8. If x^(y)=e^(x-y), then (dy)/(dx) is equal to

    Text Solution

    |

  9. Let f(x)=(x^(2))/(1-x^(2)),xne0,+-1, then derivative of f(x) with resp...

    Text Solution

    |

  10. If y=e^(sin^(-1)x)" and "u=logx," then"(dy)/(du), is

    Text Solution

    |

  11. The differential coefficient of f(x)=log(logx) with respect to x is

    Text Solution

    |

  12. If y=(tan^- 1)(sqrt(1+x^2)-1)/x, then y'(1) is equal to

    Text Solution

    |

  13. The derivative of sin^(-1)((sqrt(1+x)+sqrt(1-x))/(2)) with respect to ...

    Text Solution

    |

  14. If f(x)=log(a)(log(a)x), then f'(x), is

    Text Solution

    |

  15. The differential coefficient of f((log)e x) with respect to x , where ...

    Text Solution

    |

  16. If x^(m).y^(n)=(x+y)^(m+n), prove that (i) (dy)/(dx) =(y)/(x) and (i...

    Text Solution

    |

  17. The value of (d)/(dx)(|x-1|+|x-5|) at x=3, is

    Text Solution

    |

  18. y = sec^(- 1)((x+1)/(x-1))+sin^(- 1)((x-1)/(x+1)), x > 0. Find dy/dx

    Text Solution

    |

  19. If f'(x)=sin(log x)and y=f((2x+3)/(3-2x)), then dy/dx equals

    Text Solution

    |

  20. If f(x)=(log(cotx)tanx)(log(tanx)cotx)^(-1) +tan^(-1)((x)/(sqrt(4-x^...

    Text Solution

    |