Tentukanlah nilai maksimum f(x) = x3 – 12X +3

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Tentukanlah nilai maksimum f(x) = x3 – 12X +3

Jawaban Terkonfirmasi

F(x) = x^3 – 12x + 3
f'(x) = 3x^2 – 12 = 0
=> 3(x^2 – 4) = 0
=> 3(x + 2)(x – 2) = 0
=> x = -2 atau x = 2
+++ (-2) — (2) +++
Karena maksimum maka x = -2 (+++ —)
Nilai balik maksimumnya
f(-2) = (-2)^3 – 12(-2) + 3 = -8 + 24 + 3 = 19