Home
Class 12
MATHS
Derivative of sin^(-1)x w.r.t. cos^(-1) ...

Derivative of `sin^(-1)x` w.r.t. `cos^(-1) sqrt(1-x^(2))` is -

A

`(1)/(1-x^(2))`

B

`cos^(-1)x`

C

1

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 5|80 Videos

  • MAXIMA AND MINIMA

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination E|2 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

Similar Questions

Explore conceptually related problems

The derivative of sin^(2)x w.r.t. cos^(2)x is -

Find the derivative of cos^(-1)(2x^(2)-1)" w.r.t. "sqrt(1-x^(2))" at "x=(1)/(2).

The derivative of sec^(-1)((1)/(2x^(2)-1))" w.r.t. "sqrt(1-x^(2)) " at "x=(1)/(2) is -

Find the derivatives w.r.t. x : cos^(-1)x+cos^(-1)sqrt(1-x^(2))

Find the derivative of sec^(-1)(1/(2x^2-1)) w.r.t sqrt(1-x^2) at x=1/2

Differentiate x^(sin^(-1)x) w.r.t 'x'

Find the derivative of tan^-1((2x)/(1-x^2)) w.r.t. sin^-1((2x)/(1+x^2)) .

Find the derivatives w.r.t. x : cot^(-1) sqrt((1-sinx)/(1+sinx))(0 lt x lt (pi)/(2))

Find the derivative w.r.t. x: e^(cos^(-1)x) +x^(sqrt(x))

Find the derivative of "sin"^(-1) (2x)/(1+x^(2)) w.r.t. "tan"^(-1)(2x)/(1-x^(2))

CHHAYA PUBLICATION-MCQ ZONE -Question Paper 7
  1. If |veca xx vecb|^2+(veca*vecb)^(2)=196 and |vecb|=2, then the value o...

    Text Solution

    |

  2. If e^(y)+xy=e^(2) then the value of (d^(2)y)/(dx^(2)) at x=0 is -

    Text Solution

    |

  3. Derivative of sin^(-1)x w.r.t. cos^(-1) sqrt(1-x^(2)) is -

    Text Solution

    |

  4. If x=a(theta+sin theta), y=a(1-cos theta), then the value of (dy)/(d...

    Text Solution

    |

  5. The equation ax^(2)+bx+c=0 has one real root between 0 and k. If 4a...

    Text Solution

    |

  6. If lim(x to oo) [ (x^(3)+1)/(x^(2)+1)-(ax+b)]=2, then the values of a ...

    Text Solution

    |

  7. Let f(x) be continuous in (-oo, oo) and f'(x) exists in (-oo, oo). If...

    Text Solution

    |

  8. The value of lim(x to 0) (1-3x)^((3)/(x)) is equal to -

    Text Solution

    |

  9. If y=2sin^(- 1)((x-2)/sqrt(6))-sqrt(2+4x-x^2) then prove that dy/dx at...

    Text Solution

    |

  10. If f(x)=tan^(-1)((3x-x^(3))/(1-3x^(2))) and phi(x)=cos^(-1)((1-x^(2)...

    Text Solution

    |

  11. If y=sec(tan^(-1)x), then (dy)/(dx) is equal to -

    Text Solution

    |

  12. If y=e^(x+e^(x+e^(x+...oo)), then the value of (dy)/(dx) is -

    Text Solution

    |

  13. If y=(x sin^(-1)x)/(sqrt(1-x^(2)))+logsqrt(1-x^(2)), then the value o...

    Text Solution

    |

  14. For |x| lt 1, let y=1+x+x^(2)+…oo, then the value of (dy)/(dx)-y is e...

    Text Solution

    |

  15. Observe the following statements : (i) f(x)=ax^(41)+bx^(-40) rArr (f'...

    Text Solution

    |

  16. If f(y)=e^(y), g(y)=y, y gt 0 and F(t)=int(0)^(t) f(t-y)g(y)dy, then ...

    Text Solution

    |

  17. If m, n in R, then the value of I(m,n)=int(0)^(1) t^(m)(1+t)^(n)dt is...

    Text Solution

    |

  18. The value of int(-2)^(2)[p log((1+x)/(1-x))+q log ((1-x)/(1+x))^(-2)+...

    Text Solution

    |

  19. The value of int (f'(x))/(f(x)log{f(x)})dx is equal to -

    Text Solution

    |

  20. The value of int e^(-logx)dx is -

    Text Solution

    |