Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Inverse Functions
Derivative of Inverse Function
Formulas
g'(a) = 1 / f'(g(a))
f'(x) = -3x^2 - 12x - 12
Theorems
Derivative of Inverse Functions
Suitable Grade Level
Grade 12 or College-level Calculus