Final answer to the problem
$2\mathrm{sech}\left(2x\right)^2$
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Step-by-step Solution
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1
Apply the trigonometric identity: $\frac{d}{dx}\left(\mathrm{tanh}\left(\theta \right)\right)$$=\mathrm{sech}\left(\theta \right)^2\frac{d}{dx}\left(\theta \right)$, where $x=2x$
$\mathrm{sech}\left(2x\right)^2\frac{d}{dx}\left(2x\right)$
Learn how to solve calcul différentiel problems step by step online.
$\mathrm{sech}\left(2x\right)^2\frac{d}{dx}\left(2x\right)$
Learn how to solve calcul différentiel problems step by step online. d/dx(tanh(2x)). Apply the trigonometric identity: \frac{d}{dx}\left(\mathrm{tanh}\left(\theta \right)\right)=\mathrm{sech}\left(\theta \right)^2\frac{d}{dx}\left(\theta \right), where x=2x. Apply the formula: \frac{d}{dx}\left(cx\right)=c\frac{d}{dx}\left(x\right), where c=2. Apply the formula: \frac{d}{dx}\left(x\right)=1.
Final answer to the problem
$2\mathrm{sech}\left(2x\right)^2$
