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Social ScienceHow would you find y' if x^y=y^x using logarithmic differentiation and keeping the answer in terms of x and y.
How would you find y' if x^y=y^x using logarithmic differentiation and keeping the answer in terms of x and y.
Expert Answer
Given equation:
The given equation is xy = yx.
Find the derivative y’ = (dy/dx) of xy = yx:
The derivative y’ = (dy/dx) of xy = yx is calculated as given below:
Further calculation:
The derivative y’ = (dy/dx) of xy = yx is obtained as (xy*lny–y2)/ (xy*lnx–x2) from the further cal...
Math
Calculus
Derivative
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