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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.
$\frac{1}{\mathrm{sinh}\left(10x\right)}\frac{d}{dx}\left(\mathrm{sinh}\left(10x\right)\right)$
Learn how to solve calcul différentiel problems step by step online. d/dx(ln(sinh(10x))). 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(\mathrm{sinh}\left(\theta \right)\right)=\frac{d}{dx}\left(\theta \right)\mathrm{cosh}\left(\theta \right), where x=10x. Apply the formula: \frac{d}{dx}\left(nx\right)=n\frac{d}{dx}\left(x\right), where n=10. Apply the formula: \frac{d}{dx}\left(x\right)=1.
