Home
Class 12
MATHS
Find (dy)/(dx)," if "y= sin^(-1)x +sin^(...

Find `(dy)/(dx)," if "y= sin^(-1)x +sin^(-1)sqrt(1-x^(2)), 0 lt x lt 1`.

Text Solution

Verified by Experts

The correct Answer is:
`0`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT TELUGU|Exercise EXERCISE 5.7|17 Videos

  • APPLICATION OF INTEGRALS

    NCERT TELUGU|Exercise Miscellaneous Exercise|19 Videos

  • DETERMINANTS

    NCERT TELUGU|Exercise Miscellaneous Exercises on Chapter 4|17 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) in the following : y= sin^(1)((1-x^(2))/(1+x^(2))), 0 lt x lt 1 .

Find (dy)/(dx) in the following : y= sin^(-1) (2x sqrt(1-x^(2))), (1)/(sqrt(2)) lt x lt (1)/(sqrt(2)) .

Find (dy)/(dx) in the following : y= cos^(-1) ((2x)/(1+x^(2))), -1 lt x lt1 .

Find (dy)/(dx) in the following : y= sin^(-1) ((2x)/(1+x^(2))) .

Find (dy)/(dx), " if "y=12 (1-cos t), x= 10(t-sin t), -(pi)/(2) lt t lt (pi)/(2) .

Find (dy)/(dx) in the following : y= cos^(-1) ((1-x^(2))/(1+x^(2))), 0 lt x lt 1 .

If y = "sin"^(-1)[xsqrt(1 - x) - sqrt(x) sqrt(1 - x^2)] and 0 lt x lt 1 then (dy)/(dx) at x = (sqrt3)/2 is

Find (dy)/(dx) in the following : y = tan^(-1)((3x-x^(3))/(1-3x^(2))), -(1)/(sqrt(3)) lt x lt (1)/(sqrt(3)) .

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

NCERT TELUGU-CONTINUITY AND DIFFERENTIABILITY-MISCELLANEOUS EXERCISE ON CHAPTER 5
  1. Differentiate w.r.t.x the function in Exercises 1 to 11. (5x)^( 3 co...

    Text Solution

    |

  2. Differentiate w.r.t.x the function sin^(-1)(x sqrt(x)), 0 le x le 1.

    Text Solution

    |

  3. Differentiate w.r.t.x the function in Exercises 1 to 11. (cos^(-1)""...

    Text Solution

    |

  4. Differentiate w.r.t.x the function in Exercises 1 to 11. cot^(-1)[(s...

    Text Solution

    |

  5. Differentiate w.r.t.x the function. (logx)^(log x), x gt 1.

    Text Solution

    |

  6. Differentiate w.r.t.x the function in cos( a cos x+ b sin x), for s...

    Text Solution

    |

  7. Differentiate w.r.t.x the function in Exercises 1 to 11. (sin x- cos...

    Text Solution

    |

  8. Differentiate w.r.t.x the function in Exercises 1 to 11. x^(x)+x^(a)...

    Text Solution

    |

  9. x^(x^(2)-3)+(x-3)^(x^2)," for "x gt 3.

    Text Solution

    |

  10. Find (dy)/(dx), " if "y=12 (1-cos t), x= 10(t-sin t), -(pi)/(2) lt t l...

    Text Solution

    |

  11. Find (dy)/(dx)," if "y= sin^(-1)x +sin^(-1)sqrt(1-x^(2)), 0 lt x lt 1.

    Text Solution

    |

  12. If xsqrt(1+y)+ysqrt(1+x)=0," for ", -1 lt x lt 1, prove that (dy)/(d...

    Text Solution

    |

  13. If (x-a)^(2)+(y-b)^(2)=c^(2), for some c gt 0, prove that ([1+((dy)/...

    Text Solution

    |

  14. If cos y= x cos (a+y), with cos a ne pm 1, prove that (dy)/(dx)=(cos^(...

    Text Solution

    |

  15. If x=a (cos t +t sin t)" and "y= a (sin t -t cos t), find (d^(2)y)/(dx...

    Text Solution

    |

  16. Using mathematical induction prove that (d)/(dx)(x^n)= nx^(n-1) for al...

    Text Solution

    |

  17. Using the fact the that sin (A+B)= sin A cos B+ cos A sin B and the di...

    Text Solution

    |

  18. Does there exist a function which is continuous everywhere but not dif...

    Text Solution

    |

  19. If y=|{:(f(x),g(x),h(x)),(l,m,n),(a,b,c):}|, prove that (dy)/(dx)=|{:(...

    Text Solution

    |

  20. If y= e^(a cos^(-1)x), -1 le x le 1, show that (1-x^(2))(d^(2)y)/(dx^(...

    Text Solution

    |