Contoh Soal dan Pembahasan Nilai Maksimum dan Minimum Suatu Fungsi

1. f(x) = x²-6x+3 pada interval -1≤x≤2

Jawab:

f(x) = x² - 6x + 3

x = -1 ⇒ f(-1) = 1 + 6 + 3 = 10

x = 0 ⇒ f(0) = 0 - 0 + 3 = 3

x = 1 ⇒ f(1) = 1 - 6 + 3 = -2

x = 2 ⇒ f(2) = 4 - 12 + 3 = -5

maksimum = 10

minimum = -5

2. f(x) = x³-6x²+12x-6 pada interval 0≤x≤3

Jawab:

f(x) = x³ - 6x² + 12x - 6

x = 0 ⇒ f(0) = 0 - 0 + 0 - 6 = -6

x = 1 ⇒ f(1) = 1 - 6 + 12 - 6 = 1

x = 2 ⇒ f(2) = 8 - 24 + 24 - 6 = 2

x = 3 ⇒ f(3) = 27 - 54 + 36 - 6 = 3

maksimum = 3

minimum = -6

Contoh soal nilai maksimum dan minimum

Contoh soal nilai maksimum : 100

Contoh soal nilai minimum : 5,10,15,20,25,50,dll.

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