Home
Class 12
MATHS
If x^(m)y^(n)=(x+y)^(m+n), then (dy)/(dx...

If `x^(m)y^(n)=(x+y)^(m+n)`, then `(dy)/(dx)=`

A

y/x

B

(x+y)/(xy)

C

xy

D

x/y

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos

  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos

Similar Questions

Explore conceptually related problems

If x^(m).y^(n) = a^(m+n) , then dy/dx =

IF x^(y)=e^(x-y), then (dy)/(dx) is

If x^(x) = y^(y) , then (dy)/(dx) is

If 2^(x)+2^(y)=2^(x+y) , then (dy)/(dx) is

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

If y=x^(x^(2)), then (dy)/(dx) equals

If y=sin^(n)x cos n x, then (dy)/(dx) is

y = (x^(x))^(x) , then dy/dx =

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

If x^(y) = e^(x-y) then (dy)/(dx) is equal to

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. If f is a real valued differentiable function satisfying : |f(x)-f(y...

    Text Solution

    |

  2. The set of points, where f(x)=(x)/(1+|x|) is differentiable, is :

    Text Solution

    |

  3. If x^(m)y^(n)=(x+y)^(m+n), then (dy)/(dx)=

    Text Solution

    |

  4. If f(x)=log(x^(2))(log(e)x), then f'(x) at x=e is

    Text Solution

    |

  5. If y = f(x) is an even function such that f^(')(0) exists, then f^(')(...

    Text Solution

    |

  6. If f(x)=cot^(-1)(cos2x)^(1//2), then f'(pi//6) is :

    Text Solution

    |

  7. If f(x) is odd differentiable function defined on (-oo,oo), such that ...

    Text Solution

    |

  8. If f(x) = tan^(-1) [sqrt((1+sinx)/(1-sinx))], 0 le x le pi/2 then f^('...

    Text Solution

    |

  9. If x^(2)+y^(2) =1 then

    Text Solution

    |

  10. Let f:R toR be such that f(1)=3 and f(1)=6. Then lim(xto0)(f(1+x)/(f(1...

    Text Solution

    |

  11. If log (x+y) = 2xy, then y^(')(0) =

    Text Solution

    |

  12. y = sin^(-1)((2x)/(1 + x^2))

    Text Solution

    |

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

    Text Solution

    |

  14. Derivative of sec^(-1) (1/(2x^(2)-1)) w.r.t sqrt(1+3x) at x = -1/3 is

    Text Solution

    |

  15. If x = a cos^(3) theta , y = a sin^(3) theta , then 1+((dy)/(dx))^(2)...

    Text Solution

    |

  16. If the function f is defined by f(x)=(x)/(1+|x|), then at what points ...

    Text Solution

    |

  17. If 3sin(xy) + 4 cos (xy) = 5, then dy/dx =

    Text Solution

    |

  18. The derivative of cos^(-1)(2x^(2)-1) w.r.t cos^(-1) x is

    Text Solution

    |

  19. If sin y = x. sin (a + y) then dy/dx =

    Text Solution

    |

  20. If sqrt(tan y) = e^(cos 2x) . Sin x then dy/dx =

    Text Solution

    |