Find the derivative of the function f(x) = (2x - 3) x³/²
A) f'(x) = 8x³/² - {9}/{2}x¹/²
B) f'(x) = 8x³/² - 9x¹/²
C) f'(x) = 4x³/² - 9x¹/²
D) f'(x) = 2x³/² - {9}/{2}x¹/²