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The function f is defined by f(x)=-2x^{3}-2x-4 and the point (0, -4) is on the graph of f. If g(x)=f^{-1}(x) what is the value of

The function f is defined by f(x)=-2x^{3}-2x-4 and the point (0, -4) is on the graph of f. If g(x)=f^{-1}(x) what is the value of g'(-4)?

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