Resources
Calculus
Calculus: 7 free interactive math resources. Rates of change, tangents, and curves — see limits before the formal rules.
Guide
About this topic
Calculus intro uses tangent/derivative visuals for instantaneous rate of change, then connects to limit and integral notation.
What you learn
- Secant → tangent intuition
- Derivative as instantaneous rate
- Match graphs of f and f'
- Write limits and integrals in the editor
Subtopics
Key formulas
f'(x) = lim_{h→0} [f(x+h)−f(x)]/h∫ f(x) dx
FAQ
Can I browse before formal limits?
Yes — build tangent intuition first.
How does this follow function graphing?
Know the graph, then watch slope change with x.
How do I write derivative notation?
Use the equation editor or symbol sheet.
Resources in this topic
7 free interactive resources in 4 groups
Limits & derivatives
- Activity
Limits of sequences
aₙ → L: for every ε > 0 there is N so that n > N ⇒ |aₙ − L| < ε.
Open - Activity
Derivative and tangent
Secant slopes approach the tangent: f'(x₀) = lim Δx→0 [f(x₀+Δx)−f(x₀)]/Δx.
Guide - Activity
Taylor expansion
Polynomial approximations to sin x — higher order fits better locally.
Open