Вычислите производные сложных функций

а) f (x) = (3 - x)⁴ f' (x) = -4(3 - x)³ б) f (x) = 2log₃2x = 2ln2x / ln3 f' (x) = 2/ln3 · 2/2x = 2 / x·ln3 в) f (x) = 3tg(2x - π/4) f' (x) = 6/cos²(2x - π/4) г) f (x) = (x² + 4)·e^(-x²) f' (x) = 2x·e^(-x²) + (x² + 4)·e^(-x²)·(-2x) = 2x·e^(-x²)·(1 - x² - 4) = -2x·e^(-x²)·(x² + 3) д) f (x) = 2sin³4x f' (x) = 6sin²4x·cos4x·4 = 24sin²4x·cos4x