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Turunan ke- 1 dari f(x) = (3x-2)(4x+1) adalah …

Rani Maharani

Soal

Pembahasan

Jika f(x) = u(x) v(x), maka f1(x) = u1(x) v(x) + u(x) v1(x)

Dalam hal ini, u(x) = 3x - 2 dan v(x) = 4x + 1, sehingga u1(x) = 3 dan v1(x) = 4. Mari kita hitung turunan pertama dari f(x):

f(x) = (3x - 2)(4x + 1)

f1(x) = u1(x) v(x) + u(x) v1(x)

f1(x) = 3(4x + 1) + (3x - 2)(4)

f1(x) = 12x + 3 + 12x - 8

f1(x) = 24x - 5

Jadi, turunan pertama dari f(x) = (3x - 2)(4x + 1) adalah f1(x) = 24x - 5.

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