Higher order derivatives | Footnote, Essence of calculus
A very quick primer on the second derivative, third derivative, etc. Full playlist: http://3b1b.co/calculus ------------------ 3blue1brown is a channel about animating ...
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In the next chapter, about Taylor series, I make frequent reference to higher order derivatives. And, if you’re already comfortable with second derivatives, third derivatives and such, great! Feel free to skip right ahead to the main event now, you won’t hurt my feelings. But somehow I’ve managed not to bring up higher order derivatives at all so far this series, so for the sake of completeness, I thought I’d give this little footnote to very briefly go over them. I’ll focus mainly on the second derivative, showing what it looks like in the context of graphs and motion, and leave you to think about the analogies for higher orders. Given some function f(x), the derivative can be interpreted as the slope of its graph above some input, right? A steep slope means a high...
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In the next chapter, about Taylor series, I make frequent reference to higher order derivatives. And, if you’re already comfortable with second derivatives, third derivatives and such, great! Feel free to skip right ahead to the main event now, you won’t hurt my feelings. But somehow I’ve managed not to bring up higher order derivatives at all so far this series, so for the sake of completeness, I thought I’d give this little footnote to very briefly go over them. I’ll focus mainly on the second derivative, showing what it looks like in the context of graphs and motion, and leave you to think about the analogies for higher orders. Given some function f(x), the derivative can be interpreted as the slope of its graph above some input, right? A steep slope means a high...
