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