Calculus › Section C · Derivatives › Topic C.6
Related rates
When linked quantities change with time, their rates of change are chained together by the equation linking the quantities. Differentiate that equation and one measured rate tells you the other.
In this topic
- Everything changes at once
- The six-step routine
- Worked example: the balloon
- Worked example: the sliding ladder
- Worked example: two cars leaving a junction
- Worked example: the lengthening shadow
- When the relation is trigonometric
- Signs, units and the sanity check
- Worked example: the draining cone
- Why substituting early breaks everything
- Common mistakes to avoid
- Key takeaways
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Standards: 4