Math Problem Statement

Find the stationary points and rough points and endpoint for f(x)=x^2+3-1x4\le x\le4

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Stationary Points
Differentiation
Continuity
Quadratic Functions

Formulas

Derivative: f'(x) = 2x
Stationary Points: Set derivative to zero, f'(x) = 0
Endpoints: Evaluate f(x) at the interval boundaries

Theorems

Differentiability of polynomials: Polynomials are differentiable everywhere
Extrema on closed intervals: The Extreme Value Theorem

Suitable Grade Level

Grades 10-12