Home
Class 12
MATHS
If x^(y) = a^(x),prove that dy/dx = xlog...

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

Promotional Banner

Topper's Solved these Questions

  • ANNUAL EXAM QUESTION PAPER MARCH 2016

    SUBHASH PUBLICATION|Exercise PART C|12 Videos

  • ANNUAL EXAM QUESTION PAPER MARCH 2016

    SUBHASH PUBLICATION|Exercise PART D|10 Videos

  • ANNUAL EXAM QUESTION PAPER MARCH 2016

    SUBHASH PUBLICATION|Exercise PART D|10 Videos

  • ANNUAL EXAM QUESTION PAPER 2015

    SUBHASH PUBLICATION|Exercise PART E|4 Videos

  • ANNUAL EXAM QUESTION PAPER MARCH 2018

    SUBHASH PUBLICATION|Exercise PART E|3 Videos

Similar Questions

Explore conceptually related problems

If x^(y) = a^(x) , prove that (dy)/( dx) = ( x log _(e) a -y)/( x log_(e) x)

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

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

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

If (xe)^(y)=e^(x) , then (dy)/(dx) is

IF x^(y)=e^(x-y), then (dy)/(dx) is

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

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

If x^(y) = e^(x-y) then (dy)/(dx) is equal to