Home
Class 12
MATHS
If y = tan^(-1)((sin x)/(1+cos x)) find ...

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

A

(1/2)

B

0

C

1

D

(-1)

Text Solution

Verified by Experts

The correct Answer is:
A
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=tan^(-1)((1+sin x)/(cos x))" shoe that "(dy)/(dx)= (1)/(2) .

y=tan^(- 1)sqrt((1-x)/(1+x)) find (dy)/(dx)

If y = sin^(-1) [(2^(x + 1))/(1 + 4^x)] find (dy)/(dx) .

If y = a^((1)/(2) log_(a) cos x) , find (dy)/( dx)

If y = tan^(-1) sqrt((1+sin x)/(1-sinx)) , then dy/dx =

If y=sin^(-1)(2^(x+1)/(1+4^x))," find "(dy)/(dx) .

If y = tan^(-1) ((x + a)/(1 - xa)), dy/dx=

If y=(sin x+cos x)/(sin x- cos x)" find " (dy)/(dx) .

If y+ sin y= cos x," find "(dy)/(dx) .

If y = (log)^(cos x) find (dy)/(dx) .

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. The derivative of tan^(-1) [(sqrt(1 + x^(2)) - 1)/(x)] with respect to...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. If f(x) is differentiable at x = a then lim(a rarr a) (x f(a) - a f(x)...

    Text Solution

    |

  9. If g(x) = 1/sqrt(9+x^(2) then lim(x rarr 4) ((g(x) - g(4))/(x-4) )=

    Text Solution

    |

  10. Let f be twice differentiable function such that f^('')(x) = -f(x) and...

    Text Solution

    |

  11. If y=e^(-x)(Acosx+Bsinx), then y satisfies :

    Text Solution

    |

  12. If y = e^(2x)(A cos 3x - B sin 3x), then y satisfies

    Text Solution

    |

  13. If y = Ae^(2x) + Be^(-3x), then y satisfies

    Text Solution

    |

  14. If y = 2e^(-x)+3e^(-2x), then y satisfies

    Text Solution

    |

  15. If y = (3x+5)e^(-2x), then y satisfies

    Text Solution

    |

  16. If y = Ae^(-4x) + Be^(4x), then y satisfies

    Text Solution

    |

  17. If x = sqrt((1-t^(2))/(1+t^(2)) and y = (sqrt(1+t^(2))-sqrt(1-t^(2)))...

    Text Solution

    |

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

    Text Solution

    |

  19. If S(n) denotes the sum of n terms of a G.P., whose common ratio is r,...

    Text Solution

    |

  20. y = 1/(1+x^(beta-alpha)+x^(gamma-alpha))+ 1/(1+x^(alpha-beta)+x^(gamma...

    Text Solution

    |