Home
Class 12
MATHS
Find the (dy)/(dx) of sqrt(1-x^2)+sqrt(1...

Find the `(dy)/(dx)` of `sqrt(1-x^2)+sqrt(1-y^2)=a(x-y)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find the (dy)/(dx) of y=sin^(-1)sqrt(1-x^2)

Find the (dy)/(dx) of y=cos^(-1){sqrt((1+x)/2)}

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

Find (dy)/(dx) of y=(sqrt(x)(2x+3)^2)/(sqrt(x+1))

Find the (dy)/(dx) of y=sin^(-1)(xsqrt(1-x)+sqrt(x)sqrt(1-x^2))

If sqrt(1-x^(4))+sqrt(1-y^(4))=k(x^(2)-y^(2)), prove that (dy)/(dx)=(x sqrt(1-y^(4)))/(y sqrt(1-x^(4)))

Find (dy)/(dx)" if y"=sqrt(sin^(-1) sqrt(x)) .

Find dy/dx:y= sqrt (1+x^2)

Find (dy)/(dx), if y=sin^(-1)[x sqrt(1-x)-sqrt(x)sqrt(1-x^(2))]

BANSAL-LIMITS AND DERIVATIVES-All Questions
  1. Find the (dy)/(dx) of y=sin^(-1)((1-x^2)/(1+x^2))

    Text Solution

    |

  2. "F i n d"(dy)/(dx)"if"y=tan^(-1)((sqrt(1+x^2)-1)/x), where x!=0

    Text Solution

    |

  3. Find the (dy)/(dx) of sqrt(1-x^2)+sqrt(1-y^2)=a(x-y)

    Text Solution

    |

  4. If y=cos^(-1)cos(|x|-f(x)) , where f(x)={1,\ \ if\ x >0-1,\ \ if\ x<0\...

    Text Solution

    |

  5. If f(x)=m x^2+n x+p . Then f'(1)+f'(4)-f'(5) is equal to.....

    Text Solution

    |

  6. If f(x)=cos^(-1)[(1-(logx)^2)/(1+(logx)^2)] , then the value of f'(e) ...

    Text Solution

    |

  7. If f(1)=3 , f'(1)=2 , then d/(dx) {logf(e^x+2x)} at x=0 is equal to......

    Text Solution

    |

  8. Differential coefficient of cos^(-1)(sqrt(x)) with respect to sqrt((1-...

    Text Solution

    |

  9. The differential coefficient of tan^(-1)((2x)/(1-x^2)) w.r.t. sin^(-1)...

    Text Solution

    |

  10. Differential coefficient of sin^(-1)x w.r.t. cos^(-1)sqrt(1-x^2) is eq...

    Text Solution

    |

  11. The differential coefficient of tan^(-1)((sqrt(1+x^2)-1)/x) with respe...

    Text Solution

    |

  12. Differential coefficient of tan^(-1)sqrt((1-x^2)/(1+x^2)) w.r.t. cos^(...

    Text Solution

    |

  13. If u=tan^(-1){(sqrt(1+x^2)-1)/x} and v=2tan^(-1)x , then (d u)/(d v) i...

    Text Solution

    |

  14. The derivative of sin^(-1)((2x)/(1+x^2)) w.r.t. cos^(-1)((1-x^2)/(1+x^...

    Text Solution

    |

  15. The derivative of sin^2x with respect to cos^2x is equal to....

    Text Solution

    |

  16. The derivative of cos^(-1)((1-x^2)/(1+x^2)) w.r.t. cot^(-1)((1-3x^2)/(...

    Text Solution

    |

  17. If y=(a^(cos^(-1)x))/(1+a^(cos^(-1)x)) and z=a^(cos^(-1)x), then (dy)/...

    Text Solution

    |

  18. The second order derivative of a sin^3 t w.r.t, a cos^3 t at t = pi/4...

    Text Solution

    |

  19. If y=sin((log)e x) , then x^2\ (d^2y)/(dx^2)+x(dy)/(dx) is equal to......

    Text Solution

    |

  20. (d^(20))/(dx^(20))(2cosxcos3x) is equal to........

    Text Solution

    |