Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Differentiation
Critical Points
Numerical Methods

Formulas

Derivative of y = x sin(3x - 5) + 0.004x^4
Product Rule: d/dx (uv) = u'v + uv'
Trigonometric Derivatives: d/dx [sin(u)] = cos(u) * du/dx

Theorems

Critical points are where dy/dx = 0 or undefined

Suitable Grade Level

College-level Calculus