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Problem 20 Medium Difficulty

Find $ dy/dx $ by implicit differentiation.
$ tan (x - y) = \frac {y}{1 + x^2} $

Answer

$\frac{d y}{d x}=\frac{2 x y+\left(1+x^{2}\right)^{2} \sec ^{2}(x-y)}{\left(1+x^{2}\right)^{2} \sec ^{2}(x-y)+\left(1+x^{2}\right)}$

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