differentiate sin(2x) — step-by-step solution

Let's perform the differentiation:

\frac{d}{d x} (\sin (2 x))

We differentiate using:

\frac{d}{d x} (\sin (f)) = \frac{d}{d x} (f) \cdot \cos (f)

(where f =

2 x

)

ⓘ The derivative of sin(x) is cos(x):

\frac{d}{d x} (\sin (2 x))

\frac{d}{d x} (2 x) \cdot \cos (2 x)

\frac{d}{d x} (2 x) \cdot \cos (2 x)

ⓘ A constant factor stays in front of the derivative, (k*u)' = k*u':

\frac{d}{d x} (2 x)

2

▶Derivative:

2 \cdot \cos (2 x)