Home
Class 12
MATHS
If y=cot^(-1)(sqrt(1+x^2)/x) then (dy)/(...

If `y=cot^(-1)(sqrt(1+x^2)/x) then `(dy)/(dx)=?

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    SHARAM PUBLICATION|Exercise EXAMPLE|118 Videos

  • DETERMINANT

    SHARAM PUBLICATION|Exercise EXAMPLE|90 Videos

Similar Questions

Explore conceptually related problems

If y = tan^(-1)sqrt(1+x^2) then find (dy)/(dx) .

If y= cos^(-1)[(3x+4sqrt(1-x^2))/5] then find (dy)/(dx) .

If y=sin^(-1)(2x sqrt(1-x^(2))) , then find (dy)/(dx) and determine its value at x = 0.

If y=cos^(-1)[(2x-3sqrt(1-x^(2)))/(13)] then find (dy)/(dx)

If y=sin^(-1)[xsqrt(1-x)-sqrt(x)sqrt(1-x^(2))] then find (dy)/(dx)

If y=sin^(-1)[((5x+12(sqrt(1-x^2)))/13)] then find (dy)/(dx) .

If y=sin^(-1)((2sqrt(x^(2)-1))/(x^(2))) , then find (dy)/(dx) .

If logsqrt(x^(2)+y^(2))=tan^(-1)((x)/(y)) , then show that (dy)/(dx)=(y-x)/(y+x) .

SHARAM PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXAMPLE
  1. If f(x)=|logx| then for x!=1, then what is f'(x)?

    Text Solution

    |

  2. What is the derivative of tan ^(-1)(cos sqrt(x)).

    Text Solution

    |

  3. If y=cot^(-1)(sqrt(1+x^2)/x) then (dy)/(dx)=?

    Text Solution

    |

  4. Find the derivative of cos^(-1)(sqrt(1+x)/2).

    Text Solution

    |

  5. Differentiate cos^(-1) (4x^3-3x).

    Text Solution

    |

  6. Differentiate tan^(-1)((sqrtx-x)/(1+xsqrt(x))).

    Text Solution

    |

  7. If y=10^(x) and z=100^(x/2) then find d/dx(y^(2)/z).

    Text Solution

    |

  8. What is the derivative of cos (sin^(-1)x) w.r.t cos^(-1)x?

    Text Solution

    |

  9. What is the derivative of cosec^(-1) x w.r.t x when |x|>1.

    Text Solution

    |

  10. Find (dy)/(dx)when y = log|x|.

    Text Solution

    |

  11. Find (dy)/(dx) att = 1/2 when x = (at^2), y=2at.

    Text Solution

    |

  12. Find d/(dx) In sin^(-1)cos((pi-2e^x)/2).

    Text Solution

    |

  13. If y=tan^(-1)((a)/(x))+logsqrt((x-a)/(x+a)), then prove that (dy)/(dx)...

    Text Solution

    |

  14. If (tan^(-1)x)^y + y^(cotx) =1then find (dy)/(dx).

    Text Solution

    |

  15. If x^y = e^(x-y) then prove that (dy)/(dx)=logx/(1+logx)^2.

    Text Solution

    |

  16. If y =x log (x/(a+bx))then prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^...

    Text Solution

    |

  17. If y=(sinx)^(x)+sin^(-1)sqrt(x), then find (dy)/(dx).

    Text Solution

    |

  18. If x=2cos theta-cos 2theta and y=2sin theta-sin 2 theta, then prove th...

    Text Solution

    |

  19. Differentiate the following function w.r.t. x, (logx)^(x)+x^(logx).

    Text Solution

    |

  20. If y=log[x+sqrt(x^(2)+1)], then prove that (x^(2)+1)(d^(2)y)/(dx^(2))+...

    Text Solution

    |