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maka,
f'(x) = 2x.sin(x)+x².cos(x)
Dan,
f''(x) = 2.sin(x)+2x.cos(x)+2x.cos(x)+x²(-sin(x))
f''(x) = 2.sin(x)+4x.cos(x)-x².sin(x)
f''(x) = (2-x²)sin(x)+4x.cos x
Sehingga,
Ruas kiri:
Ruas kanan:
Karena sama, kedua ruas terbukti.