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

If `2^x+2^y=2^(x+y),` then `(dy)/(dx)` is equal to `-(2^y)/(2^x)` (b) `1/(1-2^x)` `1-2^y` (d) `(2^x(1-2^y))/(2^y(2^x-1))`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If 2^x-2^y=2^(x+y) then dy/dx= (a) (2^x+2^y)/(2^x-2^y) (b) (2^x+2^y)/(1+2^(x+y)) (c) (2^(x-y))(1-2^y)/(2^x+1) (d) (2^x-2^y)/(2^x+2^y)

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

If y=(1)/(2x^(2)+3x+1) then (d^(2)y)/(dx^(2)) at x=-2

(dy)/(dx)=2((y+2)^(2))/((x+y-1)^(2))

If sin(x+y)=log(x+y), then (dy)/(dx)=(a)2 (b) -2(c)1(d)-1]

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

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

If x^(2)+y^(2)=1 then (y'=(dy)/(dx),y''=(d^(2)y)/(dx^(2)))

(dy)/(dx)=(x+y+1)/(2x+2y+3)

RESONANCE DPP-JEE MAINS-All Questions
  1. If |O A^(prime)|=|AAprime|=1, then the values of ' m ' for which (g(...

    Text Solution

    |

  2. Comprehension (For Q.No.1 to 3) Let f(x)=x^2+2a x+b ,g(x)=c x^2+2dx+1...

    Text Solution

    |

  3. If 2^x+2^y=2^(x+y), then (dy)/(dx) is equal to -(2^y)/(2^x) (b) 1/(1-...

    Text Solution

    |

  4. All the values of ' a ' for which the quadratic expression a x^2+(a-2...

    Text Solution

    |

  5. If y=x/(a+x/(b+x/(a+oo))),t h e nfin d(dy)/(dx)

    Text Solution

    |

  6. If A=[1-1 2 1],B=[a1b-1]a n d(A+B)^2=A^2+B^2+2A B , then a=-1 (b) a=...

    Text Solution

    |

  7. int(1+x+sqrt(x+x^2))/(sqrt(x)+sqrt(1+x))dx is equal to

    Text Solution

    |

  8. If we reduce 3x+3y+7=0 to the form xcosalpha+ysinalpha=p , then the va...

    Text Solution

    |

  9. If xsqrt(1+y)+ysqrt(1+x)=0, then (dy)/(dx) is equal to 1/((1+x)^2) (b...

    Text Solution

    |

  10. Harmonic conjugate of the point (5, 13) with respect to (2,-5) and (3,...

    Text Solution

    |

  11. If a x^2+2h x y+b y^2=0, then (dy)/(dx) is equal to y/x (b) x/y (c) ...

    Text Solution

    |

  12. If the pair of lines a x^2+2h x y+b y^2+2gx+2fy+c=0 intersect on the y...

    Text Solution

    |

  13. If d/dx\ ((1+x^2+x^4)/(1+x+x^2)) = ax+b, then (a, b) =

    Text Solution

    |

  14. For the equation, 3x^2+p x+3=0,p >0, if one of the roots is square of...

    Text Solution

    |

  15. Let e^(f(x))=lnxdot If g(x) is the inverse function of f(x), then g...

    Text Solution

    |

  16. If tan25^0=a , then the value of (tan205^0-t a n 115^0)/(tan245^0+t a ...

    Text Solution

    |

  17. Among (i) underset(xtooo)limsec^(-1)((x)/(sinx))" and "(ii) underset(x...

    Text Solution

    |

  18. The exact value of (96sin80^0sin65^0sin35^0)/(sin20^0+s in 50^0+s in 1...

    Text Solution

    |

  19. If f(x)=2ln(x-2)-x^2+4x+1, then find the solution set of the inequalit...

    Text Solution

    |

  20. If graph of y= f(x) is as shown in figure, then which of the following...

    Text Solution

    |