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Derivative of Inverse Function: f(x)=x^3+6x^2+14x-6 has inverse g(x). Find g'(x)

A http://www.door2math.com production.The function f(x)=x^3+6x^2+14x-6 has inverse function g(x). Find g'(x) and g'(15) if f(1)=15.
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