Calc1.10

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Evaluate {\frac  {d}{dx}}[2x\sin(2x)]\,

To evaluate, we will use the product rule.

{\frac  {d}{dx}}[2x\sin {2x}]=(2x)(\cos(2x)\cdot 2)+(\sin(2x))\cdot 2\,

Simplifying, we get

4x\cos(2x)+2\sin(2x)\,

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