Home
Class 12
MATHS
Differentiate [tan^-1 {sqrt(1-x^2) /x}] ...

Differentiate `[tan^-1 {sqrt(1-x^2) /x}]` with respect to `[cos^-1 {2x sqrt(1-x^2)}]`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE|588 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise EXERCISE|326 Videos

Similar Questions

Explore conceptually related problems

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

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

Differentiate tan^-1((2^(x+1))/(1-4^x)) with respect to x.

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

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

Differentiate sin^(-1)(2a xsqrt(1-a^2x^2)) with respect to sqrt(1-a^2x^2) , if -1/(sqrt(2)) < ax<1/(sqrt(2)) .

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

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Differentiate [tan^-1 {sqrt(1-x^2) /x}] with respect to [cos^-1 {2x ...

    Text Solution

    |

  2. If f(x)= {(kx^2,,x,<,2),(3,,x,ge,2):} is continuous at x = 2, then the...

    Text Solution

    |

  3. Check the continuity of the function f given by f(x) = 2x+3 at x=1

    Text Solution

    |

  4. Check the continuity of the following functions: f(x) = x^2atx=0

    Text Solution

    |

  5. Examine the continuity of the function f(x) = 2x^2 - 1 at x=3

    Text Solution

    |

  6. Examine the function f(x) = 2x^2-5 for its continuity at the point x =...

    Text Solution

    |

  7. Is the function defined by f(x) = |x|, a continuous function?

    Text Solution

    |

  8. Find the point at which the function f(x) = [x] is not continuous in (...

    Text Solution

    |

  9. Examine the following function for continuity: f(x) = x-5

    Text Solution

    |

  10. Examine the following functions for continuity: f(x) = x^3 + x^2-1

    Text Solution

    |

  11. Examine the following function for continuity: f(x) = 1/(x-5), x ne 5

    Text Solution

    |

  12. Examine the following function for continuity: f(x) = (x^2 -25)/(x+5),...

    Text Solution

    |

  13. Examine the following function for continuity: f(x) = |x-5|

    Text Solution

    |

  14. Prove that the following functions are continuous at all points of the...

    Text Solution

    |

  15. Prove that the following functions are continuous at all points of the...

    Text Solution

    |

  16. Prove that the following functions are continuous at all points of the...

    Text Solution

    |

  17. Discuss the continuity of the following function: f(x) = sinx + cosx

    Text Solution

    |

  18. Discuss the continuity of the following function: f(x) = sinx cdot cos...

    Text Solution

    |

  19. Discuss the continuity of the following function: f(x) = sinx cdot cos...

    Text Solution

    |

  20. Discuss the continuity of the following functions: f(x) = (sinx)/(co...

    Text Solution

    |

  21. Prove that f(x) = |sin x| is continous at all point of its domnin.

    Text Solution

    |