Nilai stasioner fungsi f(x)=x pangkat 3 -3xpangkat2 -24x-7

Mapel : Matematika
Kelas : XI SMA
Bab : Differensial

Pembahasan :
f(x) = x³ – 3x² – 24x – 7
f'(x) = 3x² – 6x – 24
0 = 3x² – 6x – 24
x² – 2x – 8 = 0
(x – 4)(x + 2) = 0
x = 4
x = -2

Untuk x = -2, maka…
f(-2) = (-2)³ – 3(-2)² – 24(-2) – 7
f(-2) = -8 – 12 + 48 – 7
f(-2) = 21

Untuk x = 4, maka…
f(4) = 4³ – 3(4)² – 24(4) – 7
f(4) = 64 – 48 – 96 – 7
f(4) = -87