Home
Class 12
MATHS
y=sin^(-1)(x/2)+cos^(-1)(x/2) then find ...

`y=sin^(-1)(x/2)+cos^(-1)(x/2)` then find the value of `[dy/dx]_(x=1)`

A

`pi/2`

B

0

C

`pi`

D

1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

y=cos^(-1)x^2 then dy/dx=

If y = sin^-1(10x) + pi/2 then find the value of dy/dx .

If sin^(-1)x+sin^(-1)y=(pi)/(2) , then the value of (dy)/(dx) is -

If tan^(-1)((2x)/(1-x^2)) ,then find dy/dx

If y= e^(sin^(-1)x) and z=e^(-cos^(-1)x) , prove that the value of (dy)/(dz) independent of x.

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

If 2y=(x-a)sqrt(2ax-x^(2))+a^(2)"sin"^(-1)(x-a)/(a) , then the value of (dy)/(dx) is equal to -

If y="sin"^(-1)(a+b cosx)/(b+a cos x) , find the simplified value of (dy)/(dx) .

If y=cos(sin^(-1)x) , then find dy/dx

If y=(1+x)(1+x^(2))(1+x^(4))…..(1+x^(2n)) then the value of ((dy)/(dx)) at x = 0 is

UNITED BOOK HOUSE-SET 6-EXERCISE
  1. tan^(-1) (1/2)+ tan^(-1) (1/3)-

    Text Solution

    |

  2. If A is non singular 3xx3 matrix and |A| =8, then |AdjA|=

    Text Solution

    |

  3. y=sin^(-1)(x/2)+cos^(-1)(x/2) then find the value of [dy/dx](x=1)

    Text Solution

    |

  4. overset(pi//2)underset(-pi//2)int |sin x|dx =

    Text Solution

    |

  5. If vec a= 2 hat i- hat j+ hat k and vec b = - hat i+3 hat j+4 hat k,th...

    Text Solution

    |

  6. The line (x-a)/4=(y-b)/3=(z-c)/0 is

    Text Solution

    |

  7. A ball is drawn from the urn, If in this experiment of a drawing ball,...

    Text Solution

    |

  8. If X is a random vairalbe, then for any constant a (neo) and b, var (a...

    Text Solution

    |

  9. (Z,*) where a* b = a+b-ab for all a,b inZ prove that the given binary ...

    Text Solution

    |

  10. Show that sin (cot^(-1) (tan cos^(-1)x)) =x

    Text Solution

    |

  11. If A = [[x,1],[1,0]] and A^2 =I then find the value of x.

    Text Solution

    |

  12. Find the value of |[1,1,1],[4,3,2],[4^2,3^2,2^2]|

    Text Solution

    |

  13. f(x) = { (kx+1, x le pi),( cos x, x >pi):} If f(x) is continous at x =...

    Text Solution

    |

  14. if y = (x+sqrt(x^2+a^2))^n then prove that (dy)/(dx)= (ny)/(sqrt(x^2+a...

    Text Solution

    |

  15. Evaluate: int((cosx+xsinx)/(x(x+cosx)))dx.

    Text Solution

    |

  16. Verify Rolle's theorem for the function f(x) = x^2+2x-8 in [-4,2]

    Text Solution

    |

  17. Solve: (1+x^2)(dy)/(dx) = y+tan^(-1)x

    Text Solution

    |

  18. If vec p is a unit vector and (vec x- vecp).(vec x+ vecp) = 8 then fin...

    Text Solution

    |

  19. Find the intercepts made by the plane x-2y+3z-18=0 on the axes.

    Text Solution

    |

  20. If P(A) = 5/13,P(B)= 6/13 and P(AuuB) = 7//13 then find P(bar A//B) a...

    Text Solution

    |