turunan 2x^2 akar 2-x

Dx (uv) = u'v + uv'

Dx [2x² √(2 - x)] = Dx [2x² (2 - x)^(1/2)]
= (4x) √(2 - x) + (2x²) (1/2)(2 - x)^(-1/2) (-1)
= 4x √(2 - x) - x² / √(2 - x)
= [4x (2 - x) - x²] / √(2 - x)
= (8x - 4x² - x²) / √(2 - x)
= (-5x² + 8x) / √(2 - x)
= -x (5x - 8) / √(2 - x)