Question

Jika f(x)=(x^2+1)(x^3-1), maka f'(x)=⋯

Answer 1

Verified answer

Jawab:

f'(x) = 5x^4 - 2x + 3x^2

Penjelasan dengan langkah-langkah:

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

f(x) = x^5 - x^2 + x^3 - 1

f'(x) = 5x^4 - 2x + 3x^2

Answer 2

Penyelesaian:

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

misal

u = x^2 + 1

u' = 2x

v = x^3 - 1

v' = 3x^2

f'(x) = u'v + v'u

f'(x) = 2x(x^3 - 1) + 3x^2(x^2 + 1)

f'(x) = 2x^4 - 2x + 3x^4 + 3x^2

f'(x) = 5x^4 + 3x^2 - 2x

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Detil Jawaban

Kelas: 11

Mapel: Matematika

Bab: Turunan Fungsi Aljabar

Kode: 11.2.9

Kata Kunci: Turunan pertama