Home
Class 12
MATHS
If y= cos^(-1) { 2x sqrt(1-x^(2) ) } , f...

If `y= cos^(-1) { 2x sqrt(1-x^(2) ) } `, find `(dy)/(dx)`.

Text Solution

Verified by Experts

The correct Answer is:
`- (1)/( sqrt(1-x^2) ) - (1)/( 2 sqrt( x) sqrt(1 -x)) `
Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 10

    ARIHANT PRAKASHAN|Exercise SECTION C (30 MARKS)|25 Videos

  • VERY SIMILAR TEST 10

    ARIHANT PRAKASHAN|Exercise SECTION C (30 MARKS)|25 Videos

  • VERY SIMILAR TEST 1

    ARIHANT PRAKASHAN|Exercise Section C |10 Videos

  • VERY SIMILAR TEST 2

    ARIHANT PRAKASHAN|Exercise SECTION -C |13 Videos

Similar Questions

Explore conceptually related problems

If y=sin^(-1)(2x sqrt(1-x^(2))) , then find (dy)/(dx) and determine its value at x = 0.

If y= cos^(-1)[(3x+4sqrt(1-x^2))/5] then find (dy)/(dx) .

If y=cos^(-1)[(2x-3sqrt(1-x^(2)))/(13)] then find (dy)/(dx)

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

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

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

If y=sin^(-1)[((5x+12(sqrt(1-x^2)))/13)] then find (dy)/(dx) .

ARIHANT PRAKASHAN-VERY SIMILAR TEST 10-SECTION B (60 MARKS)
  1. Find the equations of all the lines of slope 2 and that are tangent to...

    Text Solution

    |

  2. Prove that the function f(x) = tan x -4x is strictly decreasing on (- ...

    Text Solution

    |

  3. If y= cos^(-1) { 2x sqrt(1-x^(2) ) } , find (dy)/(dx).

    Text Solution

    |

  4. If y = ( sin y )^(x), find (dy)/(dx).

    Text Solution

    |

  5. Verify Rolle.s theorem for f(x) = (sin x)/( e^(x)) on 0 le x le pi.

    Text Solution

    |

  6. Show that the function y=(A+Bx)e^(3x) is a solution of the equation (d...

    Text Solution

    |

  7. Solve (x+1) (dy)/(dx) = 2xy.

    Text Solution

    |

  8. Evaluate int e^(x) ((1- sin x)/( 1- cos x) ) dx

    Text Solution

    |

  9. Find the area of the region bounded by the curve y=x^(3) and the lines...

    Text Solution

    |

  10. Show that the points whose position vectors are 5hat(i) + 5 hat(k), 2 ...

    Text Solution

    |

  11. Find the vector equation of the plane passing through the points 3 hat...

    Text Solution

    |

  12. Prove that if a plane has the intercepts a, b, c and is at a distance ...

    Text Solution

    |

  13. Find the equation in vector and Cartesian from of the plane passing th...

    Text Solution

    |

  14. Prove that sin( cos^(-1) ""(3)/(5) + sin^(-1)""(5)/(13) ) = (63)/(65)

    Text Solution

    |

  15. Answer any three questions (b) A house wife wishes to mix together t...

    Text Solution

    |

  16. Answer any three questions (c) Show that f: [-1,1] to R, given by f(...

    Text Solution

    |

  17. Check if the relation R on set of real numbers, defined as R = {(a,b) ...

    Text Solution

    |

  18. Answer any three questions (e) If a gt b gt c gt0, then prove that c...

    Text Solution

    |

  19. A bag contains 6 black and 3 white balls. Another bag contains 5 black...

    Text Solution

    |

  20. If A=[{:(3,1),(-1,2):}] then prove that A^(2)-5A+7I=O

    Text Solution

    |