Jika f(x) x^2 -1, maka lim p->0 (f(x+p) – f(x))/p = .. . . .

f'(x) = 2x

Pembahasan

f (x) = x² – 1

f'(x) = … ?

Pembahasan

lim f (x + p) – f (x) / p

p → 0

lim (x + p)² – 1 – (x² – 1) / p

p → 0

lim (x² + 2xp + p² – 1 – x² + 1) / p

p → 0

lim (2xp + p²)/p

p → 0

lim (2x + p)

p → 0

= 2x + 0

= 2x

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Detil Jawaban

Kelas: 11

Mapel: Matematika

Bab: Turunan Fungsi Aljabar

Kode: 11.2.9

Kata Kunci: definisi turunan, limit