## Math Problem Statement

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Implicit Differentiation

Rate of Change

Ellipses

Coordinate Geometry

### Formulas

Ellipse equation: 4x^2 + 25y^2 = 200

Implicit differentiation: d/dt(4x^2 + 25y^2) = 0

Chain rule for derivatives

### Theorems

Implicit Differentiation

Coordinate Geometry (Lines and Ellipses)

### Suitable Grade Level

Grades 10-12 (Pre-Calculus/Calculus)

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