Home
Class 12
MATHS
Differentiate sin^(-1)(2xsqrt(1-x^2)) wi...

Differentiate `sin^(-1)(2xsqrt(1-x^2))` with respect to `x` , if `1/(sqrt(2)) lt x lt 1`

Text Solution

AI Generated Solution

To differentiate \( \sin^{-1}(2x\sqrt{1-x^2}) \) with respect to \( x \), we can follow these steps: ### Step 1: Rewrite the Expression We start with the function: \[ y = \sin^{-1}(2x\sqrt{1-x^2}) \] ...
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 sin^(-1)(2x sqrt(1-x^(2))) with respect to x, if ^(*)-1/(sqrt(2))

Differentiate sin^(-1)(2x sqrt(1-x^(2))) with respect to x, if '-1

Differentiate sin ^(-1) (1/sqrt(1+x^2)) with respect to 'x'

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

Differentiate sin^(-1)sqrt(1-x^(2)) with respect to if 0

Differentiate sin^(-1)(2xsqrt(1-x^2)) with respect to x if -1/(sqrt(2))ltxlt1 (sqrt(2))="" 1="" (sqrt(2))ltxlt1="" (c)="" -1ltxlt-1/ (sqrt(2))

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

Differentiate sin^(-1)(2x sqrt(1-x^(2))) with respect to x, if -(1)/(sqrt(2))

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

Differentiate sin^(-1){(x)/(sqrt(x^(2)+a^(2)))} with respect to x

RD SHARMA-DIFFERENTIATION-Solved Examples And Exercises
  1. Differentiate tan^(-1)(tanx),\ \ x in [0,\ pi]-{pi/2}

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Differentiate sin^(-1)(2xsqrt(1-x^2)) with respect to x theta in [-(pi...

    Text Solution

    |

  5. Differentiate sin^(-1)(3x-4x^3) with respect to x , if -1/2ltxlt1/2

    Text Solution

    |

  6. Differentiate sin^(-1)(3x-4x^3) with respect to x , if 1/2ltxlt1

    Text Solution

    |

  7. Differentiate sin^(-1)(3x-4x^3) with respect to x , if -1ltxlt-1/2

    Text Solution

    |

  8. Differentiate cos^(-1)(2x^2-1) with respect to x , if 0ltxlt1

    Text Solution

    |

  9. Differentiate cos^(-1)(2x^2-1) with respect to x , if -1ltxlt0

    Text Solution

    |

  10. Differentiate cos^(-1)(1-2x^2) with respect to x , if 0ltxlt1

    Text Solution

    |

  11. Differentiate cos^(-1)(1-2x^2) with respect to x , if -1ltxlt0

    Text Solution

    |

  12. Differentiate cos^(-1)(4x^3-3x) with respect to x , if x in (-1/2,1/2)

    Text Solution

    |

  13. Differentiate cos^(-1)(4x^3-3x) with respect to x , if x in (1/2,\ 1)

    Text Solution

    |

  14. Differentiate cos^(-1)(4x^3-3x) with respect to x , if x in (-1,\ -1/2...

    Text Solution

    |

  15. Differentiate tan^(-1)((2x)/(1-x^2)) with respect to x , if x in (-1,\...

    Text Solution

    |

  16. Differentiate tan^(-1)((2x)/(1-x^2)) with respect to x , if x in (-oo,...

    Text Solution

    |

  17. Differentiate tan^(-1)((2x)/(1-x^2)) with respect to x , if x in (1,\ ...

    Text Solution

    |

  18. Differentiate tan^(-1)((3x-x^3)/(1-3x^2)) , if -1/(sqrt(3))ltxlt1/(sqr...

    Text Solution

    |

  19. Differentiate tan^(-1)((3x-x^3)/(1-3x^2)) , if x >1/(sqrt(3))

    Text Solution

    |

  20. Differentiate tan^(-1)((3x-x^3)/(1-3x^2)) , if x<-1/(sqrt(3))

    Text Solution

    |