Final answer to the problem
$\mathrm{sech}\left(x\right)^2$
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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)$$=\mathrm{sech}\left(\theta \right)^2\frac{d}{dx}\left(\theta \right)$
$\mathrm{sech}\left(x\right)^2\frac{d}{dx}\left(x\right)$
2
Apply the formula: $\frac{d}{dx}\left(x\right)$$=1$
$\mathrm{sech}\left(x\right)^2$
Final answer to the problem
$\mathrm{sech}\left(x\right)^2$
