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

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

Derivatives

Differentiation

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##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Samuel H.

University of Nottingham

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### Video Transcript

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