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Verified answer
Y = (1 - sinx)(1 - cosx)y = 1 - cosx - sinx + (sinx . cosx)
y ' = sinx - cosx + (- sinx.sinx + cosx.cosx)
y ' = sinx - cosx + (- sin²x + cos²x)
= sinx - sin²x + cos²x - cosx
= sinx(1 - sinx) + cosx( cosx - 1)