# 2016 is absolutely awesome 5

Calculus Level 5

Let $$f_1(x) = f(x) = \dfrac{9}{3+2x}$$.

Then for $$n > 1$$, let $$f_n(x) = f(f_{n−1}(x))$$.

Find 3 last digits of $$f_{2016}^{\,'}(-3)$$.

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