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You CAN multiply by dx!

dy/dx is a ratio and you CAN multiply and divide by dy, dx and so on like a FRACTION!!! You don't belive me? Well, I can assure you that they are numbers and it's completely rigorous to treat them as a fraction (ratio). In this video we'll see how it can be done and the other ways in which that dy/dx symbol can be interpreted (at the end all identify the same object even though they aren't the same thing!). Like d/dx as an operator (or functional) that acts on some function or as a simple notation that just means the derivative with respect to the variable x!!!

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4.51 Overall score*

98 Rank

17 Votes

4 Comments

Comments

Good It doesn't exploit the full potential of a multimedia presentation like animations, calligraphy, better graphs and so on, yet I've learned something here, keep going

4.9

It’s a useful intuition, but I think maybe some worked examples of seeing how dy = f’(x) dx for some specific functions f may have helped? I guess you have to be careful with whether it’s an equality or just an approximation, too. I guess in general just - if you’re emphasising using numbers as intuition, maybe do some numerical examples? Otherwise, the video editing was good! And you definitely made an effort to speak in an engaging way :)

3.1

This is a great TA session

3.1

A little more structure like timestamps would've been good and also a little more info on for which audience this thing is targeted to. It's also a little long