Turunan
y = uv
y = (x² - 3x + 2)³ (3x - 2)⁵
y' = u'v + uv'
y'
= 3(x² - 3x + 2)² (2x - 3)(3x - 2)⁵ + (x² - 3x + 2)³ . 5(3x - 2)⁴ . 3
= 3(x² - 3x + 2)² (3x - 2)⁴ [3x - 2 + 5(x² - 3x + 2)]
= 3(x² - 3x + 2)² (3x - 2)⁴ (5x² - 12x + 8)
= (3x - 2)⁴ (x² - 3x + 2)² (15x² - 36x + 24)
" Life is not a problem to be solved but a reality to be experienced! "
© Copyright 2013 - 2024 KUDO.TIPS - All rights reserved.
Turunan
y = uv
y = (x² - 3x + 2)³ (3x - 2)⁵
y' = u'v + uv'
y'
= 3(x² - 3x + 2)² (2x - 3)(3x - 2)⁵ + (x² - 3x + 2)³ . 5(3x - 2)⁴ . 3
= 3(x² - 3x + 2)² (3x - 2)⁴ [3x - 2 + 5(x² - 3x + 2)]
= 3(x² - 3x + 2)² (3x - 2)⁴ (5x² - 12x + 8)
= (3x - 2)⁴ (x² - 3x + 2)² (15x² - 36x + 24)