Home
Class 11
MATHS
If x^(m)y^(n) = (x+y)^(m+n),find dy/dx....

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

Text Solution

Verified by Experts

The correct Answer is:
`y/x`
Promotional Banner

Topper's Solved these Questions

  • DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 10.5|25 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE (Choose the correct option for the following)|34 Videos

  • DIFFERENTIAL CALCULUS LIMITS AND CONTINUITY

    PREMIERS PUBLISHERS|Exercise PROBLEMS FOR PRACTICE|58 Videos

Similar Questions

Explore conceptually related problems

If e^(x)+ e^(y) = e^(x+y), find dy/dx.

y = e^(x) sin x find dy/dx

If x^m y^n=(x+y)^(m+n),prove (dy)/(dx)=y/xdot

If y= (cos x)/(1 + sin x) find dy/dx .

If y=(tanx)/(x) find (dy)/(dx)

If y = e^(-x) .logx find dy/dx

If y = (tan x)/(x) then find dy/dx

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

If y = ((x+3)/(2x-1))^(5) then find dy/dx .

PREMIERS PUBLISHERS-DIFFEREMTIAL CALCULUS DIFFERENTIABILITY AND METHODS OF DIFFERENTITAION -PROBLEMS FOR PRACTICE
  1. If x = 2costheta- cos 2theta, y = 2sintheta -sin 2theta, find dy/dx.

    Text Solution

    |

  2. x = a(costheta + logtan(theta/2), y = asintheta, find dy/dx.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. If ax^(2) +2hxy + by^(2) + 2gx + 2fy + c = 0, find dy/dx.

    Text Solution

    |

  6. If y = cos (m sin^(-1) x), prove that (1-x^2)y3 -3 xy2 + ( m^2 -1) y1=...

    Text Solution

    |

  7. Differentiate tan^(-1)(2x/(1 - x^(2))) with respect to cos^(-1)((1 - x...

    Text Solution

    |

  8. If y = sqrt((x-1)(x-2)(x-3)), find dy/dx.

    Text Solution

    |

  9. Differentiate cosec^(-1)((1 + x^(2))/(2x)) with respect to cot^(-1)((1...

    Text Solution

    |

  10. f(x)={(x,0,le,x,le,2),(3x,-,1,2,lt,x,le,3):} then f'(2^(+)) is:

    Text Solution

    |

  11. f(x)={(x,0,le,x,le,1),(2x,-,1,1,lt,x,le,2):} then f'(1^(-)) is :

    Text Solution

    |

  12. If f(x)=x^2 and is differentiable an [1,2] f'(c) at c where c in [1,2]...

    Text Solution

    |

  13. f(x)={(x,0,le,x,le,1),(2x,-,1,1,lt,x,le,2):} then f'(1^(-)) is :

    Text Solution

    |

  14. f(x)=abs(x)+abs(x+1)+abs(x-1)+cosx. At how many points on R, this func...

    Text Solution

    |

  15. f(x)=abs(x)+abs(x-1) find f'(1^(+)):

    Text Solution

    |

  16. f(x)={(2x,-,3,0,le,x,le,2),(x^(2),-,3,2,le,x,le,4):} then f'(2^(+)) an...

    Text Solution

    |

  17. Compute f'(0^(+)) if f(x)=(x(e^(1/x)-1))/(e^(1/x)+1):

    Text Solution

    |

  18. f(x)=ax^(2)+bx+12, f'(2)=11,f'(4)=15, Then a and b are:

    Text Solution

    |

  19. y = tan^(-1)sqrt((1-cosx)/(1+cosx)) dy/dx is:

    Text Solution

    |

  20. y=log(5)x+ 55 then dy/dx is:

    Text Solution

    |