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f(x) = 9x⁴ + x⁶ - 27x⁴ - 3x⁵
= x⁶ - 3x⁵ - 18x⁴
f '(x) = 6x⁵ - 15x⁴ - 72x³
f '' (x) = 30x⁴ - 60x³ - 216x²