Calculus,
IntuitivelyThe ideas behind Calc 1–3, built from pictures and plain words — for anyone who never liked math.
  • •Preface
I · Limits and Continuity
  • 1What Calculus Is Really About
  • 2Functions, Graphs, and Just Enough Algebra
  • 3The Limit: Getting Arbitrarily Close
  • 4Continuity and Its Breaks
II · Derivatives
  • 5The Derivative
  • 6Rules for Finding Derivatives
  • 7The Chain Rule
  • 8Using Derivatives: Optimization and Change
III · Integrals
  • 9The Integral: Adding Up Infinitely Many Slices
  • 10The Fundamental Theorem of Calculus
  • 11Techniques of Integration
  • 12Using Integrals: Area, Volume, and Accumulation
IV · Sequences and Series
  • 13Sequences: Lists That Go Somewhere
  • 14Series: Adding Infinitely Many Terms
  • 15Power Series
  • 16Taylor Series: Functions as Infinite Polynomials
V · Multivariable Calculus
  • 17Functions of Several Variables
  • 18Partial Derivatives
  • 19Gradients and Optimization
  • 20Multiple Integrals
VI · Vector Calculus
  • 21Vector Fields
  • 22Line Integrals and Flow
  • 23Green's, Stokes', and the Divergence Theorem
Appendices
  • AA Precalculus Survival Kit
  • BGlossary
Chapter 7

7The Chain Rule

Draft pending — this page is an outline of planned content. Write it by creating content/chain-rule.md.

7.1Rates that stack

Planned: Composing functions and multiplying their rates of change.

7.2Reading a composition

Planned: Spotting the inside and the outside function.

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On this page
7.1 Rates that stack 7.2 Reading a composition