Question

Asked Apr 12, 2019

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How would you find y' if x^y=y^x using logarithmic differentiation and keeping the answer in terms of x and y.

Step 1

**Given equation:**

The given equation is *x ^{y}* =

Step 2

**Find the derivative y^{’} = (dy/dx) of x^{y} = y^{x}:**

The derivative *y ^{’} *= (

Step 3

**Further calculation:**

The derivative *y’ *= (*dy*/*dx*) of *xy* = *yx* is obtained as **( xy*lny–y2)/ (xy*lnx–x2)** from the further cal...

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