ifx^y+y^x=2.Find dy/dx

Asked by Adeeb Khan | 15th Jul, 2014, 01:20: PM

Expert Answer:

x to the power of y plus y to the power of x equals 2 D i f f e r e n t i a t e space a b o v e space e q u a t i o n space w. r. t space x space  y. x to the power of y minus 1 end exponent plus y to the power of x log left parenthesis y right parenthesis open parentheses fraction numerator d y over denominator d x end fraction close parentheses equals 0  fraction numerator d y over denominator d x end fraction equals fraction numerator y. x to the power of y minus 1 end exponent over denominator y to the power of x log left parenthesis y right parenthesis end fraction equals fraction numerator x to the power of y minus 1 end exponent over denominator y to the power of x minus 1 end exponent log left parenthesis y right parenthesis end fraction

Answered by Dharma Teja | 15th Jul, 2014, 02:43: PM