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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=\sin\left(x-2\right)$ and $g=3\mathrm{sinh}\left(x\right)$
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$3\frac{d}{dx}\left(\sin\left(x-2\right)\right)\mathrm{sinh}\left(x\right)+\frac{d}{dx}\left(3\mathrm{sinh}\left(x\right)\right)\sin\left(x-2\right)$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule d/dx(3sin(x-2)sinh(x)). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\sin\left(x-2\right) and g=3\mathrm{sinh}\left(x\right). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\mathrm{sinh}\left(x\right) and g=3. The derivative of the constant function (3) is equal to zero. Any expression multiplied by 0 is equal to 0.