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Verified answer
F(x) = 4cos^2(x- π)f(x) = 4 { cos(x -π) }^2
f'(x) = 4.2 { cos(x-π) }^(2-1).-sin(x-π)
f'(x) = -8 cos(x-π) sin(x-π)
= -4 { 2cos(x-π) sin(x-π)
= -4 sin {2(x-π) }