Math Problem Statement
Solution
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Math Problem Analysis
Mathematical Concepts
Derivatives
Inverse Functions
Cubic Functions
Formulas
Derivative of f(x) = -2x^3 - 9: f'(x) = -6x^2
Inverse function: f^(-1)(y) = ((-(y + 9)/2))^(1/3)
df^(-1)/dy = 1/f'(x)
Theorems
Derivative of inverse functions
Cubic functions and their inverses
Suitable Grade Level
Grades 11-12, College
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