Final answer to the problem
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Apply the formula: $\frac{d}{dx}\left(\ln\left(x\right)\right)$$=\frac{1}{x}\frac{d}{dx}\left(x\right)$
Learn how to solve calcul différentiel problems step by step online.
$\frac{1}{\tan\left(x\right)}\frac{d}{dx}\left(\tan\left(x\right)\right)$
Learn how to solve calcul différentiel problems step by step online. d/dx(ln(tan(x))). Apply the formula: \frac{d}{dx}\left(\ln\left(x\right)\right)=\frac{1}{x}\frac{d}{dx}\left(x\right). Apply the trigonometric identity: \frac{d}{dx}\left(\tan\left(\theta \right)\right)=\frac{d}{dx}\left(\theta \right)\sec\left(\theta \right)^2. Apply the formula: \frac{d}{dx}\left(x\right)=1. Apply the formula: a\frac{b}{x}=\frac{ab}{x}, where a=\sec\left(x\right)^2, b=1 and x=\tan\left(x\right).