# Inverse of a function

Calculus Level 4

If $$f(x) = (2x-3\pi)^{25} + \dfrac43 x + \cos x$$ and $$g(x)$$ is the inverse of $$f(x)$$, then find $$\dfrac d{dx} (g(x))$$ at $$x = 2\pi$$.

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