Home
Class 12
MATHS
Differentiate the following function ...

Differentiate the following function `sqrt((1+sinx)/(1-sinx))`

Text Solution

Verified by Experts

`y=sqrt{frac{1+sin x}{1-sin x}}`

Multiply and divide by `(1+sin x)`

`y=sqrt{frac{(1+sin x)(1+sin x)}{(1-sin x)(1+sin x)}}`

`y=sqrt{frac{(1+sin x)^{2}}{(1-sin ^{2} x)}} `

...
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA|Exercise Solved Examples And Exercises|102 Videos
  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA|Exercise Solved Examples And Exercises|67 Videos

Similar Questions

Explore conceptually related problems

Differentiate the following function sin^(2)(2x+1)

Differentiate the following w.r.t.x. logsqrt((1+sinx)/(1-sinx))

Differentiate the following functions: sqrt(4x^2 -7).

Differentiate the following function sqrt(tan^(-1)((x)/(2)))

d/dx[sqrt((1+sinx)/(1-sinx))]

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

Differentiate the following functions: ((x^2 +1)/(x-2))

Differentiate the following w.r.t. x : tan^(-1)sqrt((1+sinx)/(1-sinx))

Differentiate the following function (sqrt(x^(2)+1)+sqrt(x^(2)-1))/(sqrt(x^(2)+1)-sqrt(x^(2)-1))

Differentiate the following functions with respect to sin(2sin^(-1)x)

RD SHARMA-DIFFERENTIATION-Solved Examples And Exercises
  1. Differentiate the following functions with respect to log((sinx)/(1...

    Text Solution

    |

  2. If y=tan^(-1){(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))},"f i n d"(d...

    Text Solution

    |

  3. Differentiate the following function sqrt((1+sinx)/(1-sinx))

    Text Solution

    |

  4. If the derivative of tan^(-1)(a+b x) take the value of 1 at x=0,...

    Text Solution

    |

  5. Differentiate the following functions with respect to x e^(3x)cos2x

    Text Solution

    |

  6. If y=sin[2t a n^(-1){sqrt((1-x)/(1+x))}],"f i n d"(dy)/(dx)

    Text Solution

    |

  7. Differentiate (logx)^x with respect to logxdot

    Text Solution

    |

  8. Differentiate log(1+x^2) with respect to tan^(-1)xdot

    Text Solution

    |

  9. Differentiate x^2 with respect to x^3dot

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. Differentiate sin^(-1)sqrt(1-x^2) with respect to cos^(-1)x , ...

    Text Solution

    |

  13. Differentiate (cosx)^(sinx) with respect to (sinx)^(cosx)

    Text Solution

    |

  14. If y=1+alpha/((1/x-alpha))+(beta//x)/((1/x-1)(1/x-beta))+(gamma//x^2)...

    Text Solution

    |

  15. Differentiate the following functions with respect to (log)x3

    Text Solution

    |

  16. Differentiate the following function from first principles: e^(-x)

    Text Solution

    |

  17. Differentiate the following functions with respect to 2^x^3

    Text Solution

    |

  18. Differentiate the following function from first principles: e^(a x+...

    Text Solution

    |

  19. Differentiate the following function from first principles: e^(cosx...

    Text Solution

    |

  20. Differentiate the following function from first principles: e^(sqrt...

    Text Solution

    |