3.5 | Implicit Differentiation

Guidelines for Implicit Differentiation: Suppose \(y\) is defined implicitly as a function of \(x\).

  1. Differentiate both sides of the equation with respect to \(x\).
  2. Collect all terms involving \(dy/dx\) on the left side of the equation and move all other terms to the right side of the equation.
  3. Factor \(dy/dx\) out of the left side of the equation.
  4. Solve for \(dy/dx\).

E 3.5 Exercises