Math Problem Statement

Find y'' by implicit differentiation 5x^2+y^2=3

Solution

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Math Problem Analysis

Mathematical Concepts

Implicit Differentiation
Higher-Order Derivatives
Chain Rule
Quotient Rule

Formulas

Implicit differentiation of y with respect to x using the chain rule: d/dx(f(y)) = f'(y) * dy/dx
Quotient rule: (u/v)' = (u'v - uv')/v^2

Theorems

Implicit Differentiation Theorem
Chain Rule
Quotient Rule

Suitable Grade Level

Grades 10-12