Two young mathematicians discuss the chain rule.
- Devyn
- Riley! Something is bothering me.
- Riley
- What is it?
- Devyn
- I have broken calculus.
- Riley
- How?
- Devyn
- Check this out, we know that:
- Riley
- Right.
- Devyn
- But I also know that the derivative is the slope of the tangent line at a point.
- Riley
- Right!
- Devyn
- But check out this plot of that’s zoomed in around zero:
- Riley
- Ok…
- Devyn
- Well, , but the slope of this line is totally not one! What’s going on here?
This problem that Riley and Devyn are having is somewhat subtle.