Math Problem Statement
1 + (x-5)^8/5 on [3,6] apply rolle theorem
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Polynomial Functions
Continuity
Differentiability
Formulas
f(x) = 1 + \frac{(x-5)^8}{5}
f'(c) = 0
Theorems
Rolle's Theorem
Suitable Grade Level
College Calculus (Grades 11-12, early university)