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Apply the formula: $\frac{d}{dx}\left(a=b\right)$$=\frac{d}{dx}\left(a\right)=\frac{d}{dx}\left(b\right)$, where $a=\tan\left(x+y\right)$ and $b=x$
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$\frac{d}{dx}\left(\tan\left(x+y\right)\right)=\frac{d}{dx}\left(x\right)$
Learn how to solve problems step by step online. d/dx(tan(x+y)=x). Apply the formula: \frac{d}{dx}\left(a=b\right)=\frac{d}{dx}\left(a\right)=\frac{d}{dx}\left(b\right), where a=\tan\left(x+y\right) and b=x. Apply the formula: \frac{d}{dx}\left(x\right)=1. Apply the trigonometric identity: \frac{d}{dx}\left(\tan\left(\theta \right)\right)=\frac{d}{dx}\left(\theta \right)\sec\left(\theta \right)^2, where x=x+y. The derivative of a sum of two or more functions is the sum of the derivatives of each function.