Home
Class 12
MATHS
(d)/(dx)[cos^(-1)sqrt(((1+x))/(2))]...

`(d)/(dx)[cos^(-1)sqrt(((1+x))/(2))]`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE 5(e) (LONG ANSWER TYPE QUESTIONS (II))|5 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE 5(f) (SHORT ANSWER TYPE QUESTIONS)|27 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE 5(e) (SHORT ANSWER TYPE QUESTIONS)|23 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

Similar Questions

Explore conceptually related problems

(d)/(dx)[sin^(-1)sqrt(((1-x))/(2)]=

(d)/(dx)[tan^(-1)sqrt((1+(cos x)/(2))/(1-(cos x)/(2))))

(d)/(dx)[cos^(-1)(xsqrtx-sqrt((1-x)(1-x^(2))))]=

(d)/(dx)cos^(-1)(sin x)=

(d)/(dx) (cos (sec^(-1) ((x)/(8)))=

Find (d)/(dx) tan^(-1)(sqrt((1-cos x)/(1+cos x))) .

Prove that (d)/(dx)(cos^(-1)x)=(1)/(sqrt(1-x^(2)) , where x in [-1,1].

(d)/(dx)[tan^(-1)sqrt(1+x^(2))-cot^(-1)(-sqrt(1+x^(2)))]=

d/(dx)(cos^(-1)((1 - x^2)/(1 + x^2))) =.............. If x is positive

(d)/(dx)cos^(-1)sqrt(cos x) is equal to

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5(e) (LONG ANSWER TYPE QUESTIONS (I))
  1. Differentiate the following w.r.t. x : tan^(-1)((sqrt(1+a^(2)x^(2))-...

    Text Solution

    |

  2. Differentiate the following w.r.t. x : cot^(-1)((sqrt(1+x^(2))-1)/(x...

    Text Solution

    |

  3. Differentiate the following w.r.t. x : cot^(-1)((1+x)/(1-x))

    Text Solution

    |

  4. Differentiate the following w.r.t. x : cot^(-1)(sqrt(1+x^(2))-x).

    Text Solution

    |

  5. Differentiate the following w.r.t. x : tan^(-1)(secx+tanx).

    Text Solution

    |

  6. Differentiate the following w.r.t. x : tan^(-1)sqrt((1-cosx)/(1+cosx...

    Text Solution

    |

  7. Differentiate w.r.t. x: (i)tan^(-1){sqrt((1+cosx)/(1-cosx))}" "(...

    Text Solution

    |

  8. Differentiate the following w.r.t. x : tan^(-1)sqrt((1+sinx)/(1-sinx...

    Text Solution

    |

  9. Differentiate the following w.r.t. x : sin^(-1)(sqrt((1+x^(2))/2)).

    Text Solution

    |

  10. If y=tan^(-1)((2y)/(1-x^2))+sec^(-1)((1+x^2)/(1-x^2)) , x >0 , prove t...

    Text Solution

    |

  11. Find (dy)/(dx) of y=cot^(-1)[(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)...

    Text Solution

    |

  12. Find (dy)/(dx) of y=cot^(-1)[(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)...

    Text Solution

    |

  13. If y="tan"^(-1)((sqrt(1+sinx)+sqrt(1-sinx)))/((sqrt(1+sinx)-sqrt(1-sin...

    Text Solution

    |

  14. (d)/(dx)[cos^(-1)sqrt(((1+x))/(2))]

    Text Solution

    |

  15. If y=tan^(-1){(sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))} , -...

    Text Solution

    |

  16. If y="tan"^(-1)(sqrt(1+x^(2))-sqrt(1-x^(2)))/(sqrt(1+x^(2))+sqrt(1-x^(...

    Text Solution

    |

  17. If y=sin[2t a n^(-1){sqrt((1-x)/(1+x))}],"f i n d"(dy)/(dx)

    Text Solution

    |

  18. If y= tan ^(-1) ((5ax )/( a^(2) - 6x^(2))),then (dy)/(dx) =

    Text Solution

    |

  19. Find (dy)/(dx) if y=tan^(-1)(4x)/(1+5x^2)+tan^(-1)(2+3x)/(3-2x)

    Text Solution

    |

  20. If y=cos^(-1)((3x+4\ sqrt(1-x^2))/5),\ "f i n d"(dy)/(dx)

    Text Solution

    |