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Verified answer
F(x) = u/v = (x + 2)/(x - 3)f'(x) = (u'v - uv')/v²
f'(x) = (1(x - 3) - (x + 2)1)/(x - 3)²
f'(x) = -5/(x - 3)²
f'(x) = -5(x - 3)^-2
f"(x) = -5 . (-2)(x - 3)^-3
f"(x) = 10/(x - 3)³