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Find the derivative w = siny cos4y.

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W = sin4y cos4y

\(\frac{dW}{dy}\) = sin4\(\frac{d}{dy}\) cos4y + (\(\frac{d}{dy}\) sin4y) cos4y

 = -4 sin4y cos3y sin y + 4 sin3y cos y cos4y

 = 4 sin3y cos3y (cos2y - sin2y)

 = 4 sin3y cos3y cos 2y

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