Final Answer
Step-by-step Solution
Problem to solve:
Specify the solving method
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. The derivative of the linear function is equal to 1.