Решение3. а) y = x⁴ - 2x - 1/xy` = 4x⁴⁻¹ - 2*1 - 1/x² = 4x³ - 1/x² - 2б) y = x*(x⁴ - 2x - 1) = x⁵ - 2x² - xy` = 5x⁴ - 4x - 1в) y = (x⁵ - 2x² - 1)/x = x⁴ - 2x - 1/xy` = 4x⁴⁻¹ - 2*1 - 1/x² = 4x³ - 1/x² - 24.y = x*tgxа) y` = (x)` * tgx + x * tg`x = tgx + x/cos²xб) y = x² / (1 + x²)y`= [(x²)` * (1 + x²) - (1 + x²)` * (x²)] / (1 + x²)² == [(2x) * (1 + x²) - (2x) *(x²)] / (1 + x²)² = (2x + 2x³ - 2x³) / (1 + x²)² == 2x / (1 + x²)² 5.а) y = (x² - x - 1)⁸y` = 8*(x² - x - 1)⁷ * ((x² - x - 1)` = 8*(x² - x - 1)⁷ * (2x - 1)б) y = √(x² - x - 1)y` = [1 / 2√(x² - x - 1)] * (x² - x - 1)` = [1 / 2√(x² - x - 1)] * (2x - 1) = = (2x - 1) / 2√(x² - x - 1)в)