Home
Class 11
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 is equal to

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

  • DIFFRENTATION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - II) (More than One correct answer Type Questions)|8 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - II) (Linked Comprehension Type Questions)|6 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)(INTEGER TYPE QUESTIONS)|14 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS |26 Videos

  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

If y^(x)=x^(siny) then find dy/dx .

If x sin(a+y) = siny then (dy)/(dx) is equal to

If sin^(-1)((x^2-y^2)/(x^2+y^2)) = loga , then (dy)/(dx) is equal to

If 2x^(2) - 3xy + y^(2) + x + 2y - 8 = 0 , then (dy)/(dx) is equal to

If y =(logx)^(x) then (dy)/(dx) =

If dx+dy=(x+y)(dx-dy) , then log(x+y) is equal to

If y = (1 + x) (1 + x^(2)) .. (1 + x^(2n)) , then ((dy)/(dx))_(x = 0) is equal to

If y = ax^(n+1)+bx^(n+1) then x^2(d^2y)/(dx^2) is equal to

If y = sec (Tan ^(-1) x), then (dy)/(dx) at x =1 is equal to

AAKASH SERIES-DIFFRENTATION-PRACTICE SHEET (EXERCISE - I) (LEVEL - I)(Straight Objective Type Questios)
  1. f(x) = Cot^(-1)((x^x-x^(-x))/(2)) then f^(1)(1)=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. If y = (sinx)^(x) then (dy)/(dx) =

    Text Solution

    |

  6. If y=x^(cosx) then (dy)/(dx)=

    Text Solution

    |

  7. d/(dx){x^(tanx)} =

    Text Solution

    |

  8. If y = (ax+b)^(cx+d) then (dy)/(dx) =

    Text Solution

    |

  9. The derivative of y = (1-x) (2-x) (3-x) ....(n-x) at x = 1 is

    Text Solution

    |

  10. If y = log {((1 +x)/(1-x )) ^(1//4) } -1/2 Tan ^(-1) (x ), then (dy)/(...

    Text Solution

    |

  11. f (x) = (cos x) ( cos 2x ) …( cos nx) implies f' (x) + sum ^(n) (r tan...

    Text Solution

    |

  12. f (x) = (cos x) ( cos 2x ) …( cos nx) implies f' (x) + sum ^(n) (r tan...

    Text Solution

    |

  13. d/(dx)[(cosx)^(logx)+(logx)^(x)] =

    Text Solution

    |

  14. If f(x) = cos x cos 2x cos 2^2 x cos^(2^3) x .....cos 2^(n-1) x and n ...

    Text Solution

    |

  15. d/(dx)(log(e^x((x-2)/(x+2))^(3//4))) equal to

    Text Solution

    |

  16. y = log^(n)x x where log^(n) means log.log.log ....(repeated n times) ...

    Text Solution

    |

  17. If x = a cos^(4)t , y = b sin^(4)t then (dy)/(dx) at t = (3pi)/4 is

    Text Solution

    |

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

    Text Solution

    |

  19. If x = a (t + sin t), y = a (1- cost) and (dx)/(dy) =cot p then p =

    Text Solution

    |

  20. If x = "cosec" theta - sintheta, y = "cosec"^(n)theta - sin^(n) theta ...

    Text Solution

    |