Jawaban:
6x² + 18x + 13
Penjelasan dengan langkah-langkah:
f(x) = (2x² + 3x + 4)(x + 3)
u = 2x² + 3x + 4 → u' = 4x + 3
v = x + 3 → v' = 1
f'(x) = u'v + uv'
= (4x + 3)(x + 3) + (2x² + 3x + 4) . 1
= 4x² + 12x + 3x + 9 + 2x² + 3x + 4
= 6x² + 18x + 13
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2025 KUDO.TIPS - All rights reserved.
Jawaban:
6x² + 18x + 13
Penjelasan dengan langkah-langkah:
f(x) = (2x² + 3x + 4)(x + 3)
u = 2x² + 3x + 4 → u' = 4x + 3
v = x + 3 → v' = 1
f'(x) = u'v + uv'
= (4x + 3)(x + 3) + (2x² + 3x + 4) . 1
= 4x² + 12x + 3x + 9 + 2x² + 3x + 4
= 6x² + 18x + 13