Home
Class 12
MATHS
If (x)/(x-y)=log((a)/(x-y)), then prove ...

If `(x)/(x-y)=log((a)/(x-y))`, then prove that `(dy)/(dx)=2-(x)/(y)`.

Text Solution

Verified by Experts

The correct Answer is:
`[loga-log(x-y)]`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART V) QUESTION FOR PRACTICE (6 MARK) |6 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART VI) Sample Questions |3 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT PUBLICATION|Exercise (PART V) QUESTION FOR PRACTICE (1 MARK) |5 Videos

  • CHSE ODISHA EXAMINATION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|11 Videos

  • DETERMINANTS

    ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE |39 Videos

Similar Questions

Explore conceptually related problems

If (x-y)*e^((x)/(x-y))=a , then prove that y(dy)/(dx)+x=2y .

If y=tan^(-1)((a)/(x))+logsqrt((x-a)/(x+a)) , then prove that (dy)/(dx)=(2a^(3))/(x^(4)-a^(4)) .

If y=(x)/(x+2) then prove that x(dy)/(dx)=(1-y)y .

If x^(p)y^(q)=(x+y)^(p+q) , then prove that (dy)/(dx)=(y)/(x) .

If y =x log (x/(a+bx)) then prove that x^3(d^2y)/(dx^2)=(x(dy)/(dx)-y)^2 .

If x=e^(x//y) , prove that (dy)/(dx)=(x-y)/(xlogx) .

If e^(x) + e^(y) = e^(x + y) , then prove that (dy)/(dx) = (e^(x)(e^(y) - 1))/(e^(y)(e^(x) - 1)) or (dy)/(dx) + e^(y - x) = 0 .

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