Home
Class 11
MATHS
If y log x= x-y, prove that (dy)/(dx)= (...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER-15

    ICSE|Exercise SECTION-B |10 Videos
  • MODEL TEST PAPER-15

    ICSE|Exercise SECTION-C |8 Videos
  • MODEL TEST PAPER-1

    ICSE|Exercise Section-C|10 Videos
  • MODEL TEST PAPER-19

    ICSE|Exercise SECTION - C |10 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

Solve (dy)/(dx)+(y)/(x)=log 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)

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

If y = log ( sqrt( sin x - cos x)) , that prove that (dy)/(dx) = - (1)/(2) tan ((pi)/( 4) + x)