Question

Q.

Tentukan fungsi f(x) jika diketahui f'(x) = x² + 2x dan f(-2) = 6​

Answer 1

Penjelasan dengan langkah-langkah:

f'(x) = x² + 2x

f(x) = integral f'(x)

integral (x² + 2x) dx

= x²+¹ + 2x¹+¹ + C

2+1 1+1

f(x) = ⅓x³ + x² + C

f(–2) = 6

⅓(–2)³ + (–2)² + C = 6

–8 + 4 + C = 6

3

–2⅓ + 4 – 6 = – C

–2⅓ – 2 = – C

C = 4⅓

Jadi, fungsi

f(x) = ⅓x³ + x² + 4⅓ ✔

Answer 2

Jawaban:

Anti Turunan

Diketahui f’(x) = x² + 2x dan f(-2) = 6

Tinggal substitusi deh C = ke bentuk fungsi f(x) =