Implicit Differentiation for xy−y^7=3y: Step-by-Step Guide

Math Problem Statement

Given the equation xy−y7=3y, find dxdy by implicit differentiation.

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Implicit Differentiation
Differentiation
Algebraic Equations

Implicit differentiation formula: d/dx[f(x, y)] = ∂f/∂x + (∂f/∂y)dy/dx
Basic derivative rules: d/dx[c] = 0, d/dx[x^n] = n*x^(n-1)

Chain Rule
Power Rule

Grades 11-12 or Introductory Calculus Courses

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Implicit Differentiation of x^3y + xy^3 = 8 - Step-by-Step Solution