# Step-by-step Solution

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## Step-by-step solution

Problem to solve:

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

Solving method

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

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

Learn how to solve differential calculus problems step by step online. Find the derivative of 2cos(2*x). 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 cosine of a function is equal to minus the sine of the function times the derivative of the function, in other words, if f(x) = \cos(x), then f'(x) = -\sin(x)\cdot D_x(x). The derivative of the linear function times a constant, is equal to the constant.

$-4\sin\left(2x\right)$
$\frac{d}{dx}\left(2\cos\left(2x\right)\right)$

### Main topic:

Differential Calculus

~ 0.03 s