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Hi, author here. This is what made derivatives finally click for me (as opposed to the tangent line) so that’s how I wanted to explain it...maybe the same thing
by egonschiele 8y ago
Hi, author here. This is what made derivatives finally click for me (as opposed to the tangent line) so that’s how I wanted to explain it...maybe the same thing would click for others!
- 1ba9115454 8y agoI was looking for a tutorial on derivatives the other day and most of the results popping up at the top of Google were a bit dry. This one is very good though. Excellent work. How did you do the diagrams?
- egonschiele 8y agoThe Procreate app on the ipad
- shawn 8y agoDo you have any recommendations for learning the app to make what you’ve made? I don’t suppose I could bribe you into recording a video of yourself making some diagrams... Your algorithms book is excellent and fun!
- egonschiele 8y agoIMO it is more about drawing ability vs app knowledge, so I would suggest learning to draw! Just start drawing and you'll get better over time. You could join something like https://streak.club/s/8/daily-art https://streak.club/s/8/daily-art to keep motivated.
- shawn 8y agoThe daily art streak was an awesome suggestion, thank you. I have one specific question. When you write in your diagrams, what brush settings do you use? Are you using calligraphy mode? The handwriting in your diagrams has a unique look and feel that I was hoping to emulate. For example: https://i.imgur.com/8Bb1wEY.png https://i.imgur.com/8Bb1wEY.png That question mark is beautiful, and the thickness varies in a particular way that is quite unlike regular handwriting. It's more like chalk on a chalkboard. That's why I was hoping to know the exact settings. I spent some time with the Procreate app today and was able to pick up the basics. I'll try learning by copying your work. Thanks again!
- egonschiele 8y agoOh I see ... that's done non-digitally using a fountain pen.
- shawn 8y agoEchoing the sibling comment: How'd you make the diagrams? They're quite lovely and I'd like to follow your process.
- dzdt 8y agoHi author. There is a typo in the section How To Calculate The Derivative. The first two images in that section label 0.1^2 as "input change" in the denominator. It should be 0.1, not squared.
- noxToken 8y agoFor what it's worth, I like this much better. I had the traditional method of graphs and tangents. I was slightly lost on it in Cal I, and I could regurgitate it in Cal II. "The derivative of a function is the amount of change of the output with respect to the input." This is another level of derivatives clicking
- lukewrites 8y agoAnd thank you for it. Tangent lines have never meant much to me; your way of explaining feels much more intuitive. Also, I love your algorithms book! It is the main resource I used when preparing for my coding interviews. Thanks again, I look forward to your next project!
- egonschiele 8y agoThank you!