Let $f(x) = x^3 + ax^2 + 2bx + c$, $x \in \mathbb{R}$. If $f'(1) = a$, $f''(2) = b$, and $f'''(3) = c$, then the value of $f'(5)$ is (A) $\frac{117}{5}$ (B) $\frac{62}{5}$ (C) $\frac{675}{5}$ (D) $\frac{117}{5}$
Let $f(x) = x^3 + ax^2 + 2bx + c$, $x \in \mathbb{R}$. If $f'(1) = a$, $f''(2) = b$, and $f'''(3) = c$, then the value of $f'(5)$ is
(A) $\frac{117}{5}$
(B) $\frac{62}{5}$
(C) $\frac{675}{5}$
(D) $\frac{117}{5}$