A calculus problem by Shashwat Avasthi

Calculus Level 3

If \(f(x) = x^3 + x^2 f'(1) + x f''(2) + f'''(3) \) for all real \(x\), then find \(f(x) \) independent of \(f'(1), f''(2)\) and \( f'''(3) \). Submit your answer as \(f(5) \).

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