If \log (x^2+y^2) =2 \tan ^{-1} (\frac{y}{x}), show that \frac{d y}{d x}=\frac{x+y}{x-y}. OR If x^y-y^x=a^b, find \frac{d y}{d x}.

CBSE Class 12 Math 2019 Delhi Set 1 Solved Paper - Question 16

Question : 16 of 29

Marks: +1, -0

\log (x^2+y^2) =2 \tan ^{-1} (\;{y}/{x})

, show that

\;{d y}/{d x}=\;{x+y}/{x-y}

.
OR
If

x^y-y^x=a^b

, find

\;{d y}/{d x}

Solution:

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