Home
Class 12
MATHS
Differentiate tan^(-1) (log t) w.r.t. lo...

Differentiate `tan^(-1)` (log t) w.r.t. log(`sec^(-1)` t)

Promotional Banner

Topper's Solved these Questions

  • Differentiation

    CHETANA PUBLICATION|Exercise Exercise|127 Videos

  • DIFFERENTIAL EQUATIONS

    CHETANA PUBLICATION|Exercise EXERCISE|254 Videos

  • Indefinite Integration

    CHETANA PUBLICATION|Exercise Exercise|221 Videos

Similar Questions

Explore conceptually related problems

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

Differentiate log(sec x + tan x) w.r.t. x

Differentiate the following w.r.t. x: log(sec (e^(x^2)))

Differentiate the following w. r. t. x : log[sec(e^(x^2))]

Differentiate the following w.r.t. x: log(cos (x^3 -5))

Differentiate the following w.r.t. x: log (sec 3x+ tan 3x)

Differentiate the following w. r. t. x : log(sec 3x + tan 3x)

Differentiate the following w.r.t. x : log(log x)

CHETANA PUBLICATION-Differentiation-Exercise
  1. If x^2 + y^2 = t -(1/t) and x^4 + y^4 = t^2 + (1/ t^2), then show that...

    Text Solution

    |

  2. If x= e^t (sin t - cos t), y= e^t (sin t + cos t), find dy/dx at t= pi...

    Text Solution

    |

  3. Differentiate tan^(-1) (log t) w.r.t. log(sec^(-1) t)

    Text Solution

    |

  4. Differentiate log(sec x + tan x) w.r.t. x

    Text Solution

    |

  5. If y= log x, then find (d^2y) / (dx^2)

    Text Solution

    |

  6. If e^x + e^y = e^(x+y) , show that dy/dx = - e^(y-x)

    Text Solution

    |

  7. Find (d^2 y)/(dx^2) of the following: y= x^3 + 5x^2 -7x + 10

    Text Solution

    |

  8. Find (d^2 y)/(dx^2) of the following: y= log(frac{x^2}{e^x})

    Text Solution

    |

  9. Find (d^2 y)/(dx^2) of the following: y= sin(log x)

    Text Solution

    |

  10. Find (d^2 y)/(dx^2) of the following: y= x log x

    Text Solution

    |

  11. If ax^2 + 2hxy + by^2 =0, show that dy/dx = y/x

    Text Solution

    |

  12. Find (d^2 y)/(dx^2) of the following: x= sin sqrt t , y= sin sqrt t

    Text Solution

    |

  13. Find (d^2 y)/(dx^2) of the following: x = a cos^3theta, y= b sin^3thet...

    Text Solution

    |

  14. If x= costheta, y= sin^3theta, show that y(d^2 y)/(dx^2) + (dy/dx)^2 =...

    Text Solution

    |

  15. If y= cos (m sin^(-1) x), show that (1- x^2)(d^2 y)/(dx^2) - x(dy/dx) ...

    Text Solution

    |

  16. Find the nth derivative of the following: cos(5x+4)

    Text Solution

    |

  17. Find the nth derivative of the following: 1/x

    Text Solution

    |

  18. Find (d^2 y)/(dx^2) if y= x^2 + 3x +4

    Text Solution

    |

  19. Find the nth derivative of log x

    Text Solution

    |

  20. If y= sin^(-1) (3x) + sec^(-1) frac{1}{3x}, find dy/dx

    Text Solution

    |