Решение
2.
a) y = 3x⁷ - 6x³ + 7x - 5
y` = 21x⁶ - 18x² + 7
б) y = 2x²sinx
y` = 4x*sinx + 2x²cosx
в) y = (x² +1)/(x - 4)
y` = [2x*(x - 4) - (x² + 1)] / (x - 4)² = (x² - 8x - 1)/(x - 4)²
4. ∫(2x³ + 3x² + x)dx = 2x⁴ / 4 + 3x³ / 3 + x² / 2 + C =
= x⁴/2 + x³ + x²/2 + C