Find the Derivative - d/dx 2sin(x)

Problem

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

Solution

1. Identify the constant factor in the expression.

2. Apply the constant multiple rule, which states that $\frac{d\left(c\right)ƒ\left(x\right)}{dx}=c\frac{dƒ\left(x\right)}{dx}$

$2\frac{d\sin x}{dx}$

3. Apply the derivative rule for the sine function, where $\frac{d\sin x}{dx}=\cos x$

$2\cos x$

Final Answer

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

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