Velocity, tangents, speed and arc length of parametric curves

What this note covers

1. Parametric gradient
2. Vertical tangents
3. Velocity and speed
4. Arc length
5. Tangent line in space
6. Acceleration and interpretation
7. Parametric tangents: vertical cases, self-intersection and two velocities
8. Stationary parameters, cusps, arc-length bounds and space tangents

8 sections · 10 key terms & formulas · 6 common mistakes