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by tmpmov
2845 days ago
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I like this take on introducing derivatives. My first intro to derivatives was a little less than 20 years ago, but I feel like it was very much in the "traditional" vein of: Suppose we have "f'(x) = lim(h->0) (f(x+h) - f(x))/h" and we substitute in various equations. What will f'(x) be? The difference as presented here: I (re?)learned an estimation method for decimal place mathematics while at the same point tying it to a larger/underlying principle. I think a great approach would be to then do the stuff I started with, e.g. finding f'(x) given f(x). Out of curiosity, how many of you have seen the approach as seen in the above article? I can't recall seeing it before, but again, it was a fair time ago for me. |
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