1. а)
(X³ + 4*X² -5*X +7) ' = 3*X² +4*2*X -5 = 3*X² +8*X -5
1. б)
(3*X⁴ - ln X) ' = 3*4*X³ - 1/X = 12*X³ - 1/X
2. а)
2*X⁻³⁺¹ / (-3+1) - sin(X) + C= 2*X⁻² / (-2) -sin(X) + C= - 1/X² - sin(X) + C
2. б) 1/3*e^(3*x)+ C
3.
F = 3*X³ / 3 + 4*X²/2 + C = X³ +X² +C
5 = 1³ + 1² + C
C = 3
F = X³ + X² + 3