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math: linear equations have constant deriatives

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eggy 2020-10-20 14:46:17 -04:00
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@ -448,10 +448,12 @@ $$f´(x) = nx^{n-1}$$
If the slope of a tangent is: If the slope of a tangent is:
- positive/negative, that value on the derivative graph is also positive/negative, respectively - positive/negative, that value on the derivative graph is also positive/negative, respectively
- zero (e.g., linear equations), that value on the derivative graph is on the x-axis - zero, that value on the derivative graph is on the x-axis
Points of inflection on the original function become maximum/minimum points on the derivative graph. Points of inflection on the original function become maximum/minimum points on the derivative graph.
The derivative of a linear equation is always constant.
## 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)