Home
Class 12
MATHS
The derivative of sec^(-1)(1/(2x^2+1)) w...

The derivative of `sec^(-1)(1/(2x^2+1))` with respect to `sqrt(1+3x)` at `x=-1//3` (a) does not exist (b) 0 (c) 1/2 (d) 1/3

A

0

B

`1/2`

C

`1/3`

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|138 Videos

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|30 Videos

  • DIFFERENTIATION

    TARGET PUBLICATION|Exercise DERIVATIVE OF PARAMETRIC FUNCTIONS|18 Videos

  • DIFFERENTIAL EQUATIONS

    TARGET PUBLICATION|Exercise EVALUATION TEST|25 Videos

  • INTEGRATION

    TARGET PUBLICATION|Exercise EVALUATION TEST|29 Videos

Similar Questions

Explore conceptually related problems

The derivative of sec^(-1)((1)/(2x^(2)-1)) with respect to sqrt(1-x^(2))" at "x=1 , is

The derivative of sec^(-1)((1)/(2x^(2)-1)) with respect to sqrt(1-x^(2))" at "x=0 , is

The derivative of cosec^(-1)((1)/(2x^(2)-1)) with respect to sqrt(1-x^(2))" at "x=(1)/(2) , is

The derivative of sec^(-1)(-1/(2x^(2) -1)) with respect to sqrt(1-x^(2)) " at " x = 1/2 is ……. .

Differentiate sec^-1""(1)/(2x^2-1) with respect to sqrt(1-x^2)

The differential coefficient of sec^(-1)[1//(2x^(2)-1)] with spect to sqrt(3x+1) at x=-1//3 is -

TARGET PUBLICATION-DIFFERENTIATION -HIGHER ORDER DERIVATIVES
  1. The derivative of tan^(-1)[(sin x)/(1+ cosx)] with respect to tan^(-1)...

    Text Solution

    |

  2. if x=a cos^(4) theta, y= a sin^(4) theta, "then" (dy)/(dx)"at" theta=(...

    Text Solution

    |

  3. The derivative of sec^(-1)(1/(2x^2+1)) with respect to sqrt(1+3x) at x...

    Text Solution

    |

  4. If x=sin tcos 2t,y=cos tsin 2t ,then " at " t= (pi)/(4) ,(dy)/(dx)

    Text Solution

    |

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

    Text Solution

    |

  6. If : y=cos^(2)((3x)/(2))-sin^(2)((3x)/(2))," then: "(d^(2)y)/(dx^(2))=

    Text Solution

    |

  7. If x=t^(2) and y=t^(3)+1, then (d^(2)y)/(dx^(2)) is

    Text Solution

    |

  8. let y=t^(10)+1, and x=t^8+1, then (d^2y)/(dx^2) is

    Text Solution

    |

  9. If x=log t, t gt 0 and y=1/t, then (d^(2)y)/(dx^(2)), is

    Text Solution

    |

  10. If y = 1 - x +(x^(2))/(2!) - (x^(3))/(3!) + (x^(4))/(4!) - ..., " the...

    Text Solution

    |

  11. Let f be a function defined for every x, such that f''=-f, f(0)=0,f'(0...

    Text Solution

    |

  12. If e^y\ (x+1)=1 , then (d^(2)y)/(dx^(2))= .

    Text Solution

    |

  13. If y=ax^(5)+(b)/(x^(4))," then "(d^(2)y)/(dx^(2))=

    Text Solution

    |

  14. If y=a x^(n+1)+b x^(-n),t h e n x^2(d^2y)/(dx^2) is equal to

    Text Solution

    |

  15. If y=a cos ( log x )+ bsin (log x) where a ,b are parameters ,then ...

    Text Solution

    |

  16. If y=a^(x) b^(2x-1) ,then (d^(2)y)/(dx^(2))=

    Text Solution

    |

  17. If y=log(x+sqrt(x^(2) +a^(2))), then (d^(2)y)/(dx^(2)), is equal to

    Text Solution

    |

  18. If y=x^(2)+2x+3," then "(d^(2)x)/(dy^(2))

    Text Solution

    |

  19. If y=x+e^x , then (d^2x)/(dy^2) is equal to

    Text Solution

    |

  20. "If "y= sin x +e^(x)," then "(d^(2)x)/(dy^(2))=

    Text Solution

    |