Calculus I (MATH 101) Implicit Differentiation and Linear Approximation Study Guide
University of California, Berkeley
Calculus I (MATH 101) | Study Guide

Overview
A study guide focused on implicit differentiation, tangent lines, differentials, and linearization for estimation and error analysis.

Key topics
•implicit differentiation workflow
•tangent line and normal line setup
•linearization and differentials
•error propagation basics

Suggested study tasks
•differentiate one implicit equation step-by-step
•write a tangent line equation from a point
•use linearization to estimate a value near a point

Common pitfalls
•forgetting dy/dx terms when differentiating y
•solving for y too early
•mixing up actual error with differential estimate