Question

f(x) = 3x³ + 2x²
f'(x) =

Gunakan definisi limit!
- By EzzDoyanTuru​

Answer 1

Jawaban:

Fungsi Turunan

Penjelasan dengan langkah-langkah:

f(x)=3x³+2x²

lim h→₀ = 3x³+2x²

= (f(x) + h)-f(x)

h

= (3(x+h)³+2(x+h)²) - (3x³+2x²)

h

= (3(x³+3x²h+3xh²+h³)+2(x²+2xh+h²) -

(3x³+2x²)

h

= (3x³+9x²h+9xh²+3h³)+(2x²+4xh+2h²) - (3x³+2x²)

h

= (9x²h+9xh²+3h³)+(4xh+2h²)

h

= (9x²+9xh+3h²)+(4x+2h)

= (9x²+9x(0)+3(0)²+(4x+2(0)

= (9x²+0+0)+(4x+0)

= (9x²+4x) [✓]

Detail Jawaban:

Mapel : Matematika

Kelas : 11 / XI SMA

Materi : Fungsi Turunan

Kode Kategorisasi : -

Kata Kunci : Fungsi Turunan

Demikian

Semoga membantu dan bermanfaat!