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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=
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$\frac{d}{dx}\left(\cot\left(x\right)\right)\left(1-\cos\left(2x\right)\right)+\cot\left(x\right)\frac{d}{dx}\left(1-\cos\left(2x\right)\right)$
Learn how to solve problems step by step online. Find the derivative of cot(x)(1-cos(2x)). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=. Taking the derivative of cotangent. Simplify the product -(1-\cos\left(2x\right)). The derivative of the linear function is equal to 1.