Answer:
(3x² + 8x)sin x + (4x² - 6x)cos x
Step-by-step explanation:
d/dx (4x^2sin x - 3x^2cos x) =
= 4x² × d/dx sin x + sin x × d/dx 4x² - (3x² × d/dx cos x + cos x × d/dx 3x²)
= 4x² × cos x + sin x × 8x + 3x² × sin x - cos x × 6x
= 4x² cos x + 8x sin x + 3x² sin x - 6x cos x
= (3x² + 8x)sin x + (4x² - 6x)cos x
