Let \[ f(x) = \cos(x^3 - 4x^2 + 5x - 2). \]
If we let \( f^{(k)} \) denote the \( k \)th derivative of \( f \), compute \( f^{(10)}(1) \). For the sake of this problem, note that \( 10! = 3628800 \).

Let's think step by step and output the final answer within \boxed{}.
user