math: lazy related rates

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eggy 2020-11-03 10:44:51 -05:00
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@ -535,6 +535,16 @@ Implicit differentiation differentiates both sides of an equation with respect t
\frac{dy}{dx} = -\frac{x}{4y} \frac{dy}{dx} = -\frac{x}{4y}
$$ $$
### Related rates
When solving for questions that ask for rate of change related to other rates of change, ensure that:
- variables are defined
- equations are written in terms of derivates
- the equations are differentiated **with respect to time**
- apply derivative rules (especially the chain rule) to every variable that is not time
- substitute values only at the end
## Resources ## Resources
- [IB Math Analysis and Approaches Syllabus](/resources/g11/ib-math-syllabus.pdf) - [IB Math Analysis and Approaches Syllabus](/resources/g11/ib-math-syllabus.pdf)