Math Problem Statement
Find the absolute maximum and absolute minimum values of f on the given interval.
f(t) = t −
3
t
, [−1, 5]
absolute minimum value
−1
absolute maximum value
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Optimization
Critical Points
Derivative
Formulas
f(t) = t - 3t^2
f'(t) = 1 - 6t
Theorems
Extreme Value Theorem
First Derivative Test
Suitable Grade Level
Grades 11-12
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