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if x^y+y^x=log a .Find dy/dx

Asked by Adeeb Khan | 15th Jul, 2014, 04:47: PM

Expert Answer:

$x to the power of y plus y to the power of x equals log space a D i f f e r e n t i a t e space t h e space a b o v e space e q u a t i o n s space w. r. t space x comma space w e space g e t y. x to the power of y minus 1 end exponent left parenthesis fraction numerator d y over denominator d x end fraction right parenthesis plus y to the power of x log space left parenthesis y right parenthesis equals 0 fraction numerator d y over denominator d x end fraction equals fraction numerator minus y to the power of x log space left parenthesis y right parenthesis over denominator y. x to the power of y minus 1 end exponent end fraction equals fraction numerator minus y to the power of x minus 1 end exponent log space left parenthesis y right parenthesis over denominator x to the power of y minus 1 end exponent end fraction$

Answered by Dharma Teja | 15th Jul, 2014, 05:42: PM

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