Home
Class 12
MATHS
Find (dy)/(dx) for y=tan^(-1)sqrt((a-x)/...

Find `(dy)/(dx)` for `y=tan^(-1)sqrt((a-x)/(a+x),)-a

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) if y=tan^(-1)((sqrt(1+x^(2)-1))/(x)), where x!=0

Find the (dy)/(dx) of y=tan^(-1)((a x-b)/(b x+a))

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

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

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

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

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

Find (dy)/(dx) of y=(sinx)^x+sin^(-1)sqrt(x) .

y=tan^(-1)sqrt((1-x)/(1+x))find(dy)/(dx)

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

BANSAL-LIMITS AND DERIVATIVES-All Questions
  1. If f(x)=sin^(-1)((2^(x+1))/(1+4^x)) , find f^(prime)(0) .

    Text Solution

    |

  2. If y=sin^(-1)[xsqrt(1-x)-sqrt(x)sqrt(1-x^2]) and 0 < x < 1, then find...

    Text Solution

    |

  3. Find (dy)/(dx) for y=tan^(-1)sqrt((a-x)/(a+x),)-a<x<adot

    Text Solution

    |

  4. The function f(x)=e^x+x , being differentiable and one-to-one, has a ...

    Text Solution

    |

  5. Let g(x) be the inverse of an invertible function f(x) which is diff...

    Text Solution

    |

  6. If f(x) = x + tanx and g(x) is inverse of f(x) then g'(x) is equal to ...

    Text Solution

    |

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

    Text Solution

    |

  8. Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

    Text Solution

    |

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

    Text Solution

    |

  10. y=tan^(-1)(3a^2x-x^3)/(a(a^2-3x^2))

    Text Solution

    |

  11. y=sin^(-1)((5x+12sqrt(1-x^2))/(13))

    Text Solution

    |

  12. Find (dy)/(dx) of y=tan^(-1)(x/(1+sqrt(1-x^2)))

    Text Solution

    |

  13. y=tan^(-1)((acosx-bsinx)/(bcosx+asinx)), where -pi/2ltxltpiand a/btanx...

    Text Solution

    |

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

    Text Solution

    |

  15. Find (dy)/(dx) of y=(sinx)^x+sin^(-1)sqrt(x) .

    Text Solution

    |

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

    Text Solution

    |

  17. Find the derivative of y=cos^(-1)((1-x^2)/(1+x^2)) , 0<x<1

    Text Solution

    |

  18. Find the derivative of y=sin^(-1)(2xsqrt(1-x^2))

    Text Solution

    |

  19. If y=sec^(-1)(1/(2x^2-1));0ltxlt (sqrt(2)),="" then="" find="" (dy)/(d...

    Text Solution

    |

  20. Find the derivative of cos^(-1)(sinx) w.r.t. to x

    Text Solution

    |