f ''(x) = −2 + 18x − 12x^2, f(0) = 8, f '(0) = 14
find f(x)=
\(f ''(x) = −2 + 18x − 12x^2\\ f'(x)=-2x+9x^2-4x^3+k\\ f'(0)=14\qquad so\qquad k=14\\ f'(x)=-2x+9x^2-4x^3+14\\ f(x)=-x^2+3x^3-x^4+14x+c\\ f(0)=8 \qquad so\qquad c=8\\ f(x)=-x^2+3x^3-x^4+14x+8\\ \)
