Home
Class 11
MATHS
If x ^(y) + y ^(x) = a ^(b) then show t...

If ` x ^(y) + y ^(x) = a ^(b)` then show that `(dy)/(dx) =- ((y x ^(y-1) + y^(x) log y)/( x ^(y) log x + x y ^(x -1)))`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    AAKASH SERIES|Exercise EXERCISE -4.7|25 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS |26 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise EXERCISE -4.6 (SHORT TYPE ANSWER QUESTIONS )|37 Videos

  • CONTINUITY

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|34 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (PRACTICE SHEET (ADVANCED)) (Integer Type Questions)|5 Videos

Similar Questions

Explore conceptually related problems

If x^(y) + y^(x) = a^(b) then prove that (dy)/(dx)=-[(yx^(y-1)+y^(x)Logy)/(x^(y)Logx+xy^(x-1))] .

If y ^(x) + x ^(y) + x ^(x) = a ^(b) then find (dy)/(dx)

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

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

If x^(y)=y^(x) then show that dy/dx=(y(xlogy-y))/(x(ylogx-x)) .

x ^(y) =y ^(x) implies x ( x-y log x ) (dy)/(dx) =