Math Problem Statement
Prove a function to be increasing using lmvt
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Differentiation
Monotonicity
Formulas
f'(c) = (f(b) - f(a)) / (b - a)
f'(x) > 0 implies f(x) is increasing
Theorems
Lagrange's Mean Value Theorem (LMVT)
Suitable Grade Level
Grades 11-12
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