Home
Class 12
MATHS
Find f'(x), given f(x)=(cosx)/(1+sinx)...

Find `f'(x)`, given `f(x)=(cosx)/(1+sinx)`

Text Solution

Verified by Experts

The correct Answer is:
`(-1)/(1+sinx)`
Promotional Banner

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|47 Videos

  • LIMITS AND DERIVATIVES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|20 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|9 Videos

  • LINEAR INEQUALITIES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|38 Videos

Similar Questions

Explore conceptually related problems

Find the range of f(x)=sin(cosx).

Find the range of f(x)=1/((cosx-3)^2+(sinx+4)^2)

Find the range of f(x)=1/(2cosx-1)

Find the period of the following function (i) f(x) =|sinx|+|cosx| (ii) f(x)=cos(cosx)+cos(sinx) (iii) f(x)= (|sinx+cosx|)/(|sinx|+|cosx|)

Show that f (x) f (y) = f(x+y) , where f(x)=[(cosx,-sinx,0),(sinx,cosx,0),(0,0,1)] .

Find the absolute maximum and minimum values of the function f given by f(x) = cos^(2)x+sinx, x in [ 0,pi]

Show that the function f given by f(x) = tan^(-1) (sin x+cosx ) , x gt 0 is always an increasing function in (0,(pi)/(4)) .

Find the domain of f(x)=(1)/(1-2sinx)

Find the range of f(x)=1/(4cosx-3)dot

find the range of f(x)=(1)/(1+4cosx)

NEW JOYTHI PUBLICATION-LIMITS AND DERIVATIVES-QUESTIONS FROM COMPETITIVE EXAMS
  1. Find f'(x), given f(x)=(cosx)/(1+sinx)

    Text Solution

    |

  2. lim(xto1)(x^(2)-2x+1)/(|x^(2)-1|)=

    Text Solution

    |

  3. Solve the limit ; lim(xto0)((a^(x)-b^(x)))/(x)=

    Text Solution

    |

  4. Solve the limit ; lim(xto pi//2)(a^(cotx)-a^(cosx))/(cotx-cosx) is equ...

    Text Solution

    |

  5. Solve the limit ; lim(xto0)(1-cosmx)/(1-cosnx)

    Text Solution

    |

  6. ' lim (x to 0) (a^(x)-b^(x))/(e^(x)-1) is equal to

    Text Solution

    |

  7. lim(xto(pi)/(6))(2sin^(2)x+sinx-1)/(2sin^(2)x-3sinx+1)=

    Text Solution

    |

  8. lim(xto0)(tanx-sinx)/x^(3)

    Text Solution

    |

  9. lim(nto oo)((1^(2))/(1-n^(3))+(2^(2))/(1-n^(3))+ . . . .+(n^(2))/(1-n^...

    Text Solution

    |

  10. Solve the limit ; lim(xto0)((x)/(sqrt(1+x)-sqrt(1-x)))

    Text Solution

    |

  11. lim(x to oo )((x^(3))/(3x^(2)-4)-(x^(2))/(3x+2)) is equal to

    Text Solution

    |

  12. lim(xto0)((1+2x)^(10)-1)/(x) is equal to

    Text Solution

    |

  13. lim(xto2)(x^(100)-2^(100))/(x^(77)-2^(77)) is equal to

    Text Solution

    |

  14. lim(kto oo)((1^(3)+2^(3)+3^(3)+ . .. +k^(3))/(k^(4))) is equal to

    Text Solution

    |

  15. The value of lim(xto 0)(log(1+2x))/(x) is equal to

    Text Solution

    |

  16. lim(xto0^(-))(1)/(3-2^((1)/(x))) is equal to

    Text Solution

    |

  17. lim(xto3)(sqrt(x)-sqrt(3))/(sqrt(x^(2)-9)) is equal to

    Text Solution

    |

  18. lim(xto0)(e^(x^(2))-cosx)/(x^(2))=

    Text Solution

    |

  19. The value of lim(xto3)(x^(5)-3^(5))/(x^(8)-3^(8)) is equal to

    Text Solution

    |

  20. Let f(x)=(x^(5)-1)(x^(3)+1),g(x)=(x^(2)-1)(x^(2)-x+1) and let h(x) be ...

    Text Solution

    |

  21. lim(xto0)(log(1+3x^(2)))/(x(e^(5x)-1))=

    Text Solution

    |