Home
Class 12
MATHS
If y = sin^(-1) (3x-4x^(3)), then dy/dx ...

If `y = sin^(-1) (3x-4x^(3))`, then dy/dx at `x = 1/3` is

A

`-(9sqrt2)/4`

B

`9sqrt2`

C

`(9sqrt2)/4`

D

`9/sqrt8`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos

  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos

Similar Questions

Explore conceptually related problems

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

int sin^(-1)(3x-4x^(3)) dx =

If y=(1+x)(1+x^(2))(1+x^(4)) , then (dy)/(dx) at x=1 is :

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. d/dx [sin^(-1)((2x)/(1+x^(2)))] at x = 1/2 is

    Text Solution

    |

  2. d/dx [sin^(-1)((2x)/(1+x^(2)))] at x = 3/2 is

    Text Solution

    |

  3. If y = sin^(-1) (3x-4x^(3)), then dy/dx at x = 1/3 is

    Text Solution

    |

  4. If y = sin^(-1) (3x-4x^(3)), then dy/dx at x = 1/sqrt2 is

    Text Solution

    |

  5. d/dx [cos^(-1) (2x^(2)-1)] at x = -1/sqrt2 is

    Text Solution

    |

  6. d/dx [cos^(-1) (2x^(2)-1)] at x = 1/sqrt2

    Text Solution

    |

  7. If y = sin^(-1) (2x sqrt(1-x^(2))), then dy/dx at x = sqrt3/2 is

    Text Solution

    |

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

    Text Solution

    |

  9. (d)/(dx)["cosec"^(-1)((1+x^(2))/(2x))] is :

    Text Solution

    |

  10. If y=tan^(-1)(sec x+tan x) then (dy)/(dx)=

    Text Solution

    |

  11. If y=tan^(-1)((sin x + cos x)/(cos x - sin x)), then (dy)/(dx) is equa...

    Text Solution

    |

  12. If y=sec^(-1)((x+1)/(x-1))+sin^(-1)((x-1)/(x+1)), then (dy)/(dx) is

    Text Solution

    |

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

    Text Solution

    |

  14. The derivative of tan^(-1) [(sqrt(1 + x^(2)) - 1)/(x)] with respect to...

    Text Solution

    |

  15. d/dx {cos [2sin^(-1) (cos x)]} =

    Text Solution

    |

  16. If y = tan^(-1)((sin x)/(1+cos x)) find (dy)/(dx).

    Text Solution

    |

  17. Let f(x+y)=f(x)f(y) and f(x)=1+(sin2x)g(x), where g(x) is continuous. ...

    Text Solution

    |

  18. Let f and g be differentiable functions such that ("fog")'=I. If g'(a)...

    Text Solution

    |

  19. Let f(x+y) = f(x).f(y), forall, x, y. Suppose f(5) =2, f^(')(0) = 3 th...

    Text Solution

    |

  20. lim(hto0)(cos^(2)(x+h)-cos^(2)x)/(h) is equal to :

    Text Solution

    |