Answer
$y' = 2(sin(2x) - 2cos(x)sin(x))$
Work Step by Step
$y = 1-cos(2x) + 2(cos(x))^{2}$
$y' = -(-sin(2x))(2) + (2 \times 2)cos(x)(-sin(x))$
$y' = 2sin(2x)-4cos(x)sin(x)$
$y' = 2(sin(2x) - 2cos(x)sin(x))$
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