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

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

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If x^m y^n=(x+y)^(m+n) , prove that (d^2y)/(dx^2)=0

If x^m y^n=(x+y)^(m+n),p rov et h a t(dy)/(dx)=y/xdot

If x^m y^n=(x+y)^(m+n),p rov et h a t(dy)/(dx)=y/xdot

If x^m y^n=(x+y)^(m+n),p rov et h a t(dy)/(dx)=y/xdot

If x^m y^n=(x+y)^(m+n),p rov et h a t(dy)/(dx)=y/xdot

If x^m y^n=(x+y)^(m+n) , prove that (d^2y)/(dx^2)=0 .

If x^my^n = (x + y)^(m+n) , prove that (d^2y)/(dx^2)=0 .

If x^(13)y^7=(x+y)^(20) , prove that (dy)/(dx)=y/x

If x^(16)y^9=(x^2+y)^(17) , prove that x(dy)/(dx)=2y

If x^m\ y^n=1 , prove that (dy)/(dx)=-(m y)/(n x)

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Let f:""(-1,""1) rarr R be a differentiable function with f(0)""=""-...

    Text Solution

    |

  2. Let y be an implicit function of x defined by x^(2x)-2x^(x) cot y-1=0...

    Text Solution

    |

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

    Text Solution

    |

  4. The function f(x)=sqrt(a x^3+b x^2+c x+d) has its non-zero local mini...

    Text Solution

    |

  5. If f(x),g(x),h(x) are polynomials in x of degree 2 and F(x)=|fghf'g' h...

    Text Solution

    |

  6. STATEMENT 1 : When a polynomial P(x)(d egr e e >2) is divided by (x-1)...

    Text Solution

    |

  7. If 8f(x)+6f(1/x)=x+5 and y=x^2(f(x), then (dy)/(dx) at x=-1 is equal t...

    Text Solution

    |

  8. Solve each of the following system of equations in Rdot |x-1|+|x-2...

    Text Solution

    |

  9. The complete solution set of the inequation sqrt(x+18)<2-x , is (-18 ,...

    Text Solution

    |

  10. If (lim)(xvecoo)(2+(f(x))/(x^2))^(1/x)=e and f(x)=a0+a1x+a2x^3+ , then

    Text Solution

    |

  11. The matrix A has x rows and (x+5) column. If the matrix B has y rows a...

    Text Solution

    |

  12. If y=xln((a x)^(-1)+a^(-1)) prove that x(x+1)(d^2y)/(dx^2)+(dy)/(dx)=y...

    Text Solution

    |

  13. If the solution of the equation |(x^4-9)-(x^2+3)|=|x^4-9|-|x^2+3| is ...

    Text Solution

    |

  14. In the given figure (circle), P T=5,P D=7a n dP A=2, then the value of...

    Text Solution

    |

  15. Consider the matrices A=[(4,6,-1),(3,0,2),(1,-2,5)], B=[(2,4),(0,1),(...

    Text Solution

    |

  16. The solution set of the equation (x+1)log(3)^(2)x+4xlog(3)-16=0is

    Text Solution

    |

  17. If y = f(x),has following graph Match the column by filling follo...

    Text Solution

    |

  18. Let G(x)=(1/(a^x-1)+1/2)F(x), where a is a positive real number not eq...

    Text Solution

    |

  19. If {.} represents fractional part function and {x}+{-x}=x^2+x-6 , then...

    Text Solution

    |

  20. Line x/a+y/b=1 cuts the coordinate axes at A(a ,0)a n dB(0,b) and the ...

    Text Solution

    |