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

## Step-by-step Solution

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

##  Final answer to the problem

$\left(-2x+\sin\left(2x\right)\right)\sin\left(x\right)+\cos\left(x\right)\left(2-2\cos\left(2x\right)\right)$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Find the derivative using the definition
• Find the derivative using the product rule
• Find the derivative using the quotient rule
• Find the derivative using logarithmic differentiation
• Find the derivative
• Integrate by partial fractions
• Product of Binomials with Common Term
• FOIL Method
• Integrate by substitution