Home
Class 12
MATHS
If 2^(x)+2^(y)=2^(x+y), then (dy)/(dx) i...

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

A

`(2^(y)-1)/(2^(x)-1)`

B

`2^(y-x)`

C

`-2^(y-x)`

D

`2^(x-y)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2019

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • MODEL TEST PAPER - 1

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

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

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

If 2^(x) + 2^(y) = 2^(x+y) , then the value dy/dx at x = y =1 is

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

If y^(2) -2x^(2) = y , then dy/dx at (1,-1) is

If y^(x) = e^(y -x) , prove that (dy)/(dx) = ((1 + log y)^2)/(log y) .

If cos^(-1) ((x^(2) -y^(2))/( x^(2)+y^(2)))=a ,then (dy)/(dx) =

Solve (dy)/(dx)+2y=cos x.

KCET PREVIOUS YEAR PAPERS-MATHEMATICS-MCQs
  1. If f(x)=sin^(-1)((2x)/(1+x^(2))), then f(sqrt3) is

    Text Solution

    |

  2. The right hand and left hand limit of the function f(x)={{:((e^(1//x)-...

    Text Solution

    |

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

    Text Solution

    |

  4. If te curves 2x=y^(2) and 2xy=K intersect perpendicularly, then the va...

    Text Solution

    |

  5. If (xe)^(y)=e^(x), then (dy)/(dx) is

    Text Solution

    |

  6. If y=2^(n+1)+(3)/(x^(n)), then x^(2)(d^(2)y)/(dx^(2)) is

    Text Solution

    |

  7. The value of int(1+x^(4))/(1+x^(5))dx is

    Text Solution

    |

  8. The maximum value of (log(e)x)/(x), if x gt0

    Text Solution

    |

  9. If the side of a cube is increased by 5%, then the surface area of a c...

    Text Solution

    |

  10. The value of int(-(1)/(2))^((1)/(2))cos^(-1)xdx is

    Text Solution

    |

  11. If int(2x+1)/((x-1)(x-2)(x-3))dx-Alog|x-1|+Blog|x-2|+Clog|x-3|+C, then...

    Text Solution

    |

  12. The value of inte^(sinx) sin2xdx is

    Text Solution

    |

  13. The area of the region bounded by the curve y^(2)=8x and the line y=2x...

    Text Solution

    |

  14. The value of int(-(pi)/(2))^((pi)/(2))(cosx)/(1+e^(x))dx is

    Text Solution

    |

  15. The value of int(0)^(1)(log(1+x))/(1+x^(2))dx is

    Text Solution

    |

  16. The general solution of the differential equation x^(2)dy-2xydx=x^(4)c...

    Text Solution

    |

  17. The area of the region bounded by the lines y=2x+1, x - axis and the o...

    Text Solution

    |

  18. The order of the differential equation obtained by eliminating arbitra...

    Text Solution

    |

  19. If veca and vecb are unit vectors and theta is the angle between veca ...

    Text Solution

    |

  20. The curve passing through the point (1, 2) given that the slope of the...

    Text Solution

    |