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