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** Step-by-step Solution **

Problem to solve:

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The derivative of a function multiplied by a constant ($2$) is equal to the constant times the derivative of the function

Learn how to solve differential calculus problems step by step online.

$2\frac{d}{dx}\left(\sin\left(\frac{x}{2}\right)\right)$

Learn how to solve differential calculus problems step by step online. Find the derivative of 2sin(x/2). The derivative of a function multiplied by a constant (2) is equal to the constant times the derivative of the function. The derivative of the sine of a function is equal to the cosine of that function times the derivative of that function, in other words, if {f(x) = \sin(x)}, then {f'(x) = \cos(x)\cdot D_x(x)}. The derivative of a function multiplied by a constant (\frac{1}{2}) is equal to the constant times the derivative of the function. Divide 1 by 2.

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