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

If `y=tan^(-1)((sin x + cos x)/(cos x - sin x))`, then `(dy)/(dx)` is equal to

A

(1/2)

B

0

C

1

D

(-1)

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

If y = ((sin x + cos x)/(sin x - cos x)) then dy/dx at x = 0 is

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

If y=sin^(n)x cos n x, then (dy)/(dx) is

If y=tan^(-1)((1+sin x)/(cos x))" shoe that "(dy)/(dx)= (1)/(2) .

(sin x - sin y)/( cos x + cos y) = tan ""(x-y)/(2)

(sin x + sin 3x )/( cos x + cos 3x )= tan 2x

If y = cos^(-1) ((2cos x - 3 sin x)/(sqrt(13))),then (dy)/(dx) is

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

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. (d)/(dx)["cosec"^(-1)((1+x^(2))/(2x))] is :

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |