Math Problem Statement
The function f(x)=6x+9x−1f(x)=6x+9x^-1 has one local minimum and one local maximum. This function has a local maximum at x=x= with value
and a local minimum at x=x= with value
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Derivatives
Critical Points
Concavity
Formulas
f(x) = 6x + 9x^-1
f'(x) = 6 - 9/x^2
f''(x) = 18/x^3
Theorems
First Derivative Test
Second Derivative Test
Suitable Grade Level
Grade 12 or early college level
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