Home
Class 12
MATHS
If y = sin^(-1) (cosx ) then dy/dx =...

If `y = sin^(-1) (cosx )` then dy/dx =

A

1/(sinx)

B

`cos^(-1)x

C

(-1)

D

(1/2)

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)(xsqrtx) find (dy)/(dx)

If sin y = x. sin (a + y) then dy/dx =

If y = (sin^(-1)x)^(x) find (dy)/(dx)

If y = e^(sin(log x)) , then dy/dx =

If y =(sin x)^(tan x) , then dy/dx =

If y=("sin(x+9))/(cosx) , then (dy)/(dx) at x=0 is :

If sin(x+y) = log (x+y) then dy/dx =

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. If y = tan^(-1)((sin x)/(1+cos x)) find (dy)/(dx).

    Text Solution

    |

  2. If u=sin^(-1)((2x)/(1+x^(2))) and v=tan^(-1)((2x)/(1-x^(2))), then (du...

    Text Solution

    |

  3. If y = sin^(-1) (cosx ) then dy/dx =

    Text Solution

    |

  4. If y = log log (log x), then dy/dx =

    Text Solution

    |

  5. If y = sqrt(sinx+sqrt(sinx +sqrt(sin x+......to oo)))) then dy/dx =

    Text Solution

    |

  6. If f(x) = cos^(-1) [(1-(log x)^(2))/(1+(log x)^(2))], then f^(')(e) =

    Text Solution

    |

  7. If 2^(x) + 2^(y) = 2^(x+y), then the value dy/dx at x = y =1 is

    Text Solution

    |

  8. The derivative of sin^(-1) ((2x)/(1+x^(2))) w.r.t sin^(-1) ((1-x^(2))/...

    Text Solution

    |

  9. If sin y = x. sin (a + y) then dy/dx =

    Text Solution

    |

  10. If x = (1-t^(2))/(1+t^(2)) and y = (2t)/(1+t^(2))then dy/dx =

    Text Solution

    |

  11. If x=2cost+cos2t,y=2 sint-sin2t, then (dy)/(dx) at t=(pi)/(4) is

    Text Solution

    |

  12. The differential of e^(x^(3)) with respect to log x is

    Text Solution

    |

  13. The derivative of cos^(-1)((1-x^(2))/(1+x^(2))) w.r.t. cot^(-1)((1-3x^...

    Text Solution

    |

  14. The differential coefficient of f(sin x) with respect to x where f(x) ...

    Text Solution

    |

  15. If x=a(t-(1)/(t)),y=a(t+(1)/(t)) then (dy)/(dx)=

    Text Solution

    |

  16. y = tan^(-1) (sec x - tan x), then dy/dx =

    Text Solution

    |

  17. If y = (e^(x)+e^(-x))/(e^(x)-e^(-x))then is equal to...

    Text Solution

    |

  18. Ify = tan^(-1) ((sqrt(1+x^(2)) -sqrt(1-x^(2)))/(sqrt(1+x^(2)) + sqrt(1...

    Text Solution

    |

  19. If f (x) and g (x) are two functions with g(x)=x-(1)/(x) and fog (x)=x...

    Text Solution

    |

  20. The derivative of a^(sec x) w.r.t. a^(tan x)(a gt 0) is

    Text Solution

    |