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Turunan pertama dari f(x) = (2/3)x³ - (3/2)x² - 4x adalah.

Rani Maharani

31 Mei, 2023

Soal:

Turunan pertama dari f(x) = (2/3)x³ - (3/2)x² - 4x adalah...

Jawaban

Diketahui:

f(x) = (2/3)x³ - (3/2)x² - 4x

Ditanyakan:

Turunan pertama dari f(x)

Rumus:

Untuk menghitung turunan pertama suatu fungsi polinomial, kita dapat menggunakan aturan turunan. Aturan turunan untuk suatu fungsi polinomial f(x) = ax^n adalah sebagai berikut:

f'(x) = nax^(n-1)

Penyelesaian:

f(x) = (2/3)x³ - (3/2)x² - 4x

Menggunakan aturan turunan, kita dapat menghitung turunan pertama f(x) sebagai berikut:

f'(x) = 3*(2/3)x^(3-1) - 2*(3/2)x^(2-1) - 1*(4x)^(1-1)

= 2x² - 3x - 4

Jadi, turunan pertama dari f(x) = (2/3)x³ - (3/2)x² - 4x adalah 2x² - 3x - 4.

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