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

Derive the function 2cos(2x) with respect to x

Answer

$\frac{d}{dx}\left(2\left(1-2\sin\left(x\right)^2\right)\right)$

Step-by-step explanation

Problem

$\frac{d}{dx}\left(2\cos\left(2x\right)\right)$
1

Applying an identity of double-angle cosine

$\frac{d}{dx}\left(2\left(1-2\sin\left(x\right)^2\right)\right)$

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Answer

$\frac{d}{dx}\left(2\left(1-2\sin\left(x\right)^2\right)\right)$