Kumpulan Contoh Soal Titik Stasioner dan Pembahasan Matematika Kelas 11 SMA

x₁³ + 3x₁.x₂ + x₂³ = x₁³+ x₂³+ 3x₁.x₂

= (x₁ + x₂)³ - 3x₁.x₂(x₁ + x₂) + 3x₁.x₂

= (a - 1)³ - 3a(a - 1) + 3a

= (a - 1)³ - 3a² + 6a

Stasioner <=> turunan pertama = 0

<=> 3(a - 1)² - 6a + 6 = 0

<=> (a - 1)² - 2a + 2 = 0

<=> a² - 2a +1 - 2a + 2 = 0

<=> a² - 4a + 3 = 0

<=> (a - 1)(a - 3) = 0