Math Problem Statement

find dy/dx for tan(x-y)=y

Solution

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Math Problem Analysis

Mathematical Concepts

Implicit Differentiation
Trigonometric Functions
Chain Rule

Formulas

Derivative of tan(u): d/dx[tan(u)] = sec^2(u) * du/dx
Chain rule for implicit differentiation
Implicit differentiation: d/dx[y] = dy/dx

Theorems

Chain Rule
Implicit Differentiation

Suitable Grade Level

Grades 11-12 or Calculus I