Math Problem Statement

-2x^2+64=-3y+4x-3y^2 then evaluate the derivative at (5,1)

Solution

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Math Problem Analysis

Mathematical Concepts

Implicit Differentiation
Algebra
Chain Rule

Formulas

Implicit differentiation: d/dx[f(x, y) = g(x, y)]
Chain Rule: d/dx[f(y(x))] = f'(y) * dy/dx

Theorems

Chain Rule
Implicit Differentiation

Suitable Grade Level

Grades 11-12, Early College