Final answer to the problem
$\frac{3}{1+9x^2}$
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1
Apply the formula: $\frac{d}{dx}\left(\arctan\left(\theta \right)\right)$$=\frac{1}{1+\theta ^2}\frac{d}{dx}\left(\theta \right)$, where $x=3x$
$\frac{1}{1+\left(3x\right)^2}\frac{d}{dx}\left(3x\right)$
Learn how to solve calcul différentiel problems step by step online.
$\frac{1}{1+\left(3x\right)^2}\frac{d}{dx}\left(3x\right)$
Learn how to solve calcul différentiel problems step by step online. d/dx(arctan(3x)). Apply the formula: \frac{d}{dx}\left(\arctan\left(\theta \right)\right)=\frac{1}{1+\theta ^2}\frac{d}{dx}\left(\theta \right), where x=3x. Apply the formula: \left(ab\right)^n=a^nb^n. Apply the formula: \frac{d}{dx}\left(nx\right)=n\frac{d}{dx}\left(x\right), where n=3. Apply the formula: \frac{d}{dx}\left(x\right)=1.
Final answer to the problem
$\frac{3}{1+9x^2}$
