1) б) f'(x) = (4*(x² +4) - 4x*2x)/(x² +4)² = (4x² + 16 - 8x²)/(x² +4)² =
=(16 - 4x²)/(x² +4)²
f'(0) = 16/16 = 1
в)f'(x) = 2x*(x³ -2) + (x² +1) * 3x² = 2x⁴ - 4x + 3x⁴ + 3x² = 5x⁴ +3x² - 4x
f'(1) = 5 +3 - 4 = 4
г)f'(x) = 3*Sinx + 3x*Cosx
f'(π/3) = 3*Sinπ/3 + 3*π/3 * Cosπ/3 = 3*√3/3 + π* 1/2 = √3 + π/2
2) a) f'(x) = 2^(5x +3) * ln2
б) f'(x) = -0,5*Sin(0,5x +3)
в) f'(x) = 5/(2√(5x -1))
г) f'(x) = 2x*e^x² + 5