Home
Class 11
MATHS
If y=sqrt((1-cos2x)/(1+cos2x)), where 0 ...

If `y=sqrt((1-cos2x)/(1+cos2x)),` where `0 < x < pi/2,` find `(dy)/(dx).`

Text Solution

Verified by Experts

`y = sqrt((1-cos2x)/(1+cos2x)) = sqrt((2sin^(2)x)/(2cos^(2)x)) = tan x`
`:. (dy)/(dx) = d/(dx) (tan x) = sec^(2)x`.
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    RS AGGARWAL|Exercise Exrescise 28A|13 Videos

  • DIFFERENTIATION

    RS AGGARWAL|Exercise Exrescise 28B|21 Videos

  • DIFFERENTIATION

    RS AGGARWAL|Exercise Exercise 28E|44 Videos

  • CONDITIONAL IDENTITIES INVOLVING THE ANGLES OF A TRIANGLE

    RS AGGARWAL|Exercise EXERCISE 16|12 Videos

  • ELLIPSE

    RS AGGARWAL|Exercise EXERCISE|26 Videos

Similar Questions

Explore conceptually related problems

If y=sqrt((1-cos2x)/(1+cos2x),)x in(0,(pi)/(2))uu((pi)/(2),pi) then find (dy)/(dx)

(dy)/(dx)for y=tan^(-1){sqrt((1+cos x)/(1-cos x))}, where 0

differentiate the following functions wrt x,sqrt((1-cos2x)/(1+cos2x))

If pi/2

Derivative of sqrt((1-cos2x)/(1+cos2x))

inttan^(-1){sqrt((1-cos2x)/(1+cos2x))} dx = ?

Differentate : sqrt((1-cos2x)/(1+cos2x))

Evaluate: (i) int sqrt((1-cos2x)/(1+cos2x))dx (ii) int sqrt((1+cos x)/(1-cos x))dx

If y,=(1)/(2)log((1-cos2x)/(1+cos2x)), prove that (dy)/(dx),=2cos ec2x

RS AGGARWAL-DIFFERENTIATION-Solved Examples
  1. Find the derivative of {(3)/((x)^(1/3)) - 5/(cosx) +6/(sinx ) - (2tanx...

    Text Solution

    |

  2. Differentiate the following function : (i) (x^(2) - 5x + 6)(x-3) , (...

    Text Solution

    |

  3. If y=sqrt((1-cos2x)/(1+cos2x)), where 0 < x < pi/2, find (dy)/(dx).

    Text Solution

    |

  4. If y=1=x/(1!)+(x^2)/(2!)+(x^3)/(3!)+ , show that (dy)/(dx)=ydot

    Text Solution

    |

  5. If u = 3t^(4) - 5t^(3) + 2t^(2) - 18t+4, find (du)/(dt) at t = 1.

    Text Solution

    |

  6. Differentiate x^(6) from the first principle.

    Text Solution

    |

  7. Differentiate each of the following from first principle: e^(3x)

    Text Solution

    |

  8. Find the derivative of each of the following from the first principle....

    Text Solution

    |

  9. Differentiate each of the following (i) (x+5)^(7) , (ii) (x-1/x)

    Text Solution

    |

  10. Find the derivative of each of the following from the first principle....

    Text Solution

    |

  11. Differentiate each of the following from first principle: xsinx

    Text Solution

    |

  12. Differentiate (sinx)/(x) from the first principle .

    Text Solution

    |

  13. Differentiate cot (2x+1) from the first principle.

    Text Solution

    |

  14. Find the derivative of each of the following from the first principle ...

    Text Solution

    |

  15. Find the derivative of x^(-3//2) from the first principle .

    Text Solution

    |

  16. Find the derivative of (1)/(x^(2)) from the first principle .

    Text Solution

    |

  17. Differentiate sqrt(sin3x) from the first principle.

    Text Solution

    |

  18. Find the derivative of e^(sqrt(x)) from the first principle.

    Text Solution

    |

  19. Find the derivative of e^(x^(2)) from the first principle.

    Text Solution

    |

  20. Find the derivative of e^(sinx ) from the first principle.

    Text Solution

    |