Math Problem Statement

x cos(y)+y cos(x)=1 ,dy/dx

Solution

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Math Problem Analysis

Mathematical Concepts

Implicit Differentiation
Trigonometric Functions
Derivatives

Formulas

Product Rule: d(uv)/dx = u'v + uv'
Chain Rule: d(f(g(x)))/dx = f'(g(x)) * g'(x)
Trigonometric Derivatives: d(cos(x))/dx = -sin(x), d(sin(x))/dx = cos(x)

Theorems

Product Rule
Chain Rule
Trigonometric Derivatives

Suitable Grade Level

Grades 11-12 or early college (Calculus I)