If y = 2xcos2x - sin2x, find \(\frac{dy}{dx}\) when x = \(\frac{π}{4}\)
y = 2x cos2x - sin2x \(\frac{dy}{dx}\) = 2 cos2x +(-2x. 2sin2x) - 2cos2x = 2 cos2x - 2x sin2x - cos2x = -2x 2sin2x = -4 x (\(\frac{π}{4}\)) sin2 x (\(\frac{π}{4}\)) = -(π) x 1 = - π
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