# A calculus problem by Shashwat Avasthi

Calculus Level 2

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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