Math Problem Statement

x^2/(x+y) = y^2+1 Part 1: Derivative Calculate the derivative by implicit differentiation: Part 2 : Evaluate the derivative at the point(1,0).

Solution

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Math Problem Analysis

Mathematical Concepts

Implicit Differentiation
Quotient Rule
Chain Rule

Formulas

Quotient Rule: (f'(x)g(x) - f(x)g'(x)) / (g(x))^2
Derivative of y^2: 2y * (dy/dx)

Theorems

Quotient Rule
Chain Rule

Suitable Grade Level

Grades 11-12 (Calculus)