Tentukan f'(x). f(x) = 1/√(4-x)

f'(x) = 1/ 2√(4 – x) (4 – x)

Pembahasan

Jika y = [(f(x)]ⁿ , maka:

y' = n [f(x)]ⁿ⁻¹ . f'(x)

f (x) = 1/√(4 – x)

f (x) = (4 – x)^-1/2

f'(x) = -1/2 (4 – x)^(-1/2 – 1) . -1

f'(x) = 1/2 (4 – x)^-3/2

f'(x) = 1/ 2√(4 – x) (4 – x)

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Detil Jawaban

Kelas: 11

Mapel: Matematika

Bab: Turunan Fungsi Aljabar

Kode: 11.2.9

Kata Kunci: turunan pertama

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