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Find (dy)/(dx)of the functions given by...

Find `(dy)/(dx)`of the functions given by `y^x=x^y`

Text Solution

Verified by Experts

Taking log on both sides
`ylogx=xlogy`
Differentiating both the sides by uv rule
`y*1/x+logx*(dy)/(dx)=x*1/y(dy)/(dx)+logy`
...
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