Home
Class 12
MATHS
Differentiate cos^(-1) ((1 - x^2)/(1 + x...

Differentiate `cos^(-1) ((1 - x^2)/(1 + x^2)) , 0 lt x lt 1`. w.r.t.x

Promotional Banner

Topper's Solved these Questions

  • MOCK TEST-1

    MODERN PUBLICATION|Exercise EXERCISE|33 Videos

  • MOCK TEST-3

    MODERN PUBLICATION|Exercise EXERCISE|35 Videos

Similar Questions

Explore conceptually related problems

Differentiate cos^(-1)((1 - x^2)/(1 + x^2)) w.r.t. tan^(-1)x .

Differentiate y = sin^-1 ((1-x^2)/(1+x^2)) ,w.r.t x

Differentiate cos^(-1) ((1 - x^2)/(1 + x^2)) w.r.t. tan^(-1)((3x - x^3)/(1 - 3x^2))

Differentiate cos^(-1)((1)/(sqrt(1 + x^2))) w.r.t.x.

Differentiate (x cos^(-1) x)/(sqrt(1 - x^2)) w.r.t.x.

Differentiate sin^(-1)((2x)/(1 + x^2)) w.r.t. tan^(-1) x .

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

Differentiate tan^(-1)((sin x)/(1 + cos x)) w.r.t.x

Differentiate cos(x^x) w.r.t.x

MODERN PUBLICATION-MOCK TEST-2-EXERCISE
  1. For the matrix A=[(1,5),(6,7)], verify that (A-A') is a skew symmetr...

    Text Solution

    |

  2. Solve the following eqations, using inverse of a matrix: {:(5x+2y=3)...

    Text Solution

    |

  3. Differentiate cos^(-1) ((1 - x^2)/(1 + x^2)) , 0 lt x lt 1. w.r.t.x

    Text Solution

    |

  4. Find the equation of the normal to the curve ay^2 =x^3 at (am^2 ,am^3)

    Text Solution

    |

  5. Find local minimum value of the function f given by f(x) = 3+|x|, x in...

    Text Solution

    |

  6. Evaluate the definite integral: int0^(pi/4) (sinxcosx)/(cos^4x+sin^4x)...

    Text Solution

    |

  7. Solve the differential equation : (x^2 + xy)dy=(x^2+y^2)dx.

    Text Solution

    |

  8. Find the volume of the parallelopiped whose sides are given by vectors...

    Text Solution

    |

  9. Prove that : tan^-1 x +tan^-1 2x/(1-x^2) = tan^-1 ((3x-x^3)/(1-3x^2)),...

    Text Solution

    |

  10. Solve the following equations: tan^-1((1-x)/(1+x)) = 1/2 tan^-1 x, x...

    Text Solution

    |

  11. If A=[[1,2,2],[2,1,2],[2,2,1]], verify that : A^2-4A-5I=O

    Text Solution

    |

  12. Solve the following system of equations by matrix method, where xne0, ...

    Text Solution

    |

  13. If xneynez and |[x,x^3,x^4-1],[y,y^3,y^4-1],[z,z^3,z^4-1]|=0, then pro...

    Text Solution

    |

  14. If x^(y)=e^(x-y), then prove that (dy)/(dx)=(logx)/((1+logx)^(2))

    Text Solution

    |

  15. If y=xlog[(ax)^-1+a^-1], prove that : x (x+1) (d^2y) / (dx^2) + xdy/dx...

    Text Solution

    |

  16. Evaluate : int x^2/((x^2+1)(3x^2+4))dx

    Text Solution

    |

  17. Evaluate : int1^4 (3x^2+2x)dx as the limit of sum.

    Text Solution

    |

  18. Prove that : ""∫0 ^(pi/2)sin2xlogtanxdx=0

    Text Solution

    |

  19. Find the particular solution of the differential equation (1+e^(2x))dy...

    Text Solution

    |

  20. Using vectors, find the area of the triangle having vertices A (1, 1, ...

    Text Solution

    |