Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Implicit Differentiation
Tangent Line
Algebra
Calculus

Formulas

Implicit differentiation formula for y^2: 2y dy/dx
Product rule and chain rule for square root: d/dx(√xy)
Point-slope form of a line: y − y1 = m(x − x1)

Theorems

Product Rule
Chain Rule
Implicit Differentiation

Suitable Grade Level

Grades 11-12 (High School Calculus)