Home
Class 11
MATHS
If x ^( log y) = log x, then prove that ...

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

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

int (log x-1)/((log x)^(2))dx=

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

If y = log(tan 5x) , then find (dy)/(dx)

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)))

If y = log (cosh 2x) then find (dy)/(dx)

int (1)/(log x)-(1)/((log x)^(2))dx=

If x ^(y) = log x then (dy)/(dx) at x =e is

If y = log _(cos x ) sin x, then , (dy)/(dx ) =