# Step-by-step Solution

## Find the derivative of $\sin\left(2x\right)$

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### Videos

$2\cos\left(2x\right)$

## Step-by-step explanation

Problem to solve:

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

Choose the solving method

1

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 ${f'(x) = \cos(x)\cdot D_x(x)}$

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

The derivative of the linear function times a constant, is equal to the constant

$2\cos\left(2x\right)\frac{d}{dx}\left(x\right)$
3

The derivative of the linear function is equal to $1$

$2\cos\left(2x\right)$

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

### Main topic:

Differential calculus

### Time to solve it:

~ 0.02 s (SnapXam)