jika y=x2 sin X + 2x Cos X - 2 sin X maka dy/dx

turunan trigonometri

y = x² sin x + 2x cos x - 2sin x
y = (x² -2) sin x + 2x cos x
misal y = u(x) + v(x)

u(x) = x². sin x --> u' (x) = 2x sinx + x² cos x
v(x) = 2x cos x --> v' = 2 cos x - 2x  sin x

y'= u'  +  v'
y' = 2x sin x + x² cos x + 2 cos x - 2x sin x
y' = x² cos x + 2 cos x
y' = (x² +2) cos x
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