anti-derivation

Question

given f"(x)=3x+0 and f'(-1)=1 and f(-1)=5
find f'(x)=? and find f(2)

Answer 1

f"(x)=3x
f'(x)=3/2 x^2 + K solve for K given f'(-1)=1

f=1/2 x^3+kx + M

solve for M given f(-1)=5