Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Derivatives
Tangent Line
Normal Line

Formulas

y = x√x + 2
dy/dx = 3/2 * x^(1/2)
Tangent line: y_t = m_t(x - x_1) + y_1
Normal line: y_n = -1/m_t(x - x_1) + y_1

Theorems

Point-Slope Form for Tangent and Normal Lines

Suitable Grade Level

Grades 11-12 (Advanced Calculus)