A. f'(x) = 6×2 + 6x + 8
B. f'(x) = 6×2 – 6x + 8
C. f(x) = 6×2 – 6x – 8
D. f (x) = 6×2 + 6x – 8
E. f (x) = 5×2 – 6x + 8
Turunan pertama dari f(x) = (2x – 3)(x² + 4) adalah….
f(x) = (2x – 3)(x² + 4)
f(x) = 2x³ – 3x² + 8x – 12
f'(x) = 3.2x³⁻¹ – 2.3x²⁻¹ + 8
f'(x) = 6x² – 6x + 8
Jawaban B
Penjelasan dengan langkah-langkah:
turunan
f (x) = u . v
f'(x) = u' v + v' u
f (x) = (2x – 3) (x² + 4)
f'(x) = 2 (x² + 4) + 2x (2x – 3)
f'(x) = 2x² + 8 + 4x² – 6x
f'(x) = 6x² – 6x + 8