Home
Class 12
MATHS
If x^(y) y^(x)=5, then show that (dy)/(d...

If `x^(y) y^(x)=5`, then show that `(dy)/(dx)= -(log y + (y)/(x))/(log x + (x)/(y))`

Promotional Banner

Topper's Solved these Questions

  • SELF ASSESSMENT PAPER 03

    ICSE|Exercise Section-B|10 Videos
  • SELF ASSESSMENT PAPER 03

    ICSE|Exercise Section -C|10 Videos
  • SELF ASSEMENT PAPER 8

    ICSE|Exercise SECTION C|10 Videos
  • SELF ASSESSMENT PAPER 04

    ICSE|Exercise SECTION .C.|12 Videos

Similar Questions

Explore conceptually related problems

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

If x^y=e^(x-y), show that (dy)/(dx)=(logx)/({log(x e)}^2)

If log (x^2+y^2)=2t a n^(-1)\ (y/x), then show that (dy)/(dx)=(x+y)/(x-y)

If y=a^(x^(a^x..oo)) then prove that dy/dx=(y^2 log y )/(x(1-y log x log y))

If log(x^2+y^2)=2tan^(-1)(y/x), show that (dy)/(dx)=(x+y)/(x-y)

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

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

If log (x^(2)+y^(2)) = 2 tan ^(-1) (x/y) " then show that " (dy)/(dx) = (y-x)/(y +x)

If y=a^x^a^x^...^(((((oo))))) , then prove that (dy)/(dx)=(y^2(log)_e y)/(x(1-y(log)_e x(log)_e y)

If y=a^x^a^x^...^(((((oo))))) , then prove that (dy)/(dx)=(y^2(log)_e y)/(x(1-y(log)_e x(log)_e y)