CalcBLUE 2 : Ch. 12.4 : Derivatives & Mixed Partials

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OK, now it's time to see how multi-index notation works with derivatives. We'll see that an operator notation is very efficient, thanks the the delightful fact that mixed partial derivatives commute.
  1. Prof Ghrist Math
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  3. multivariable
  4. derivatives
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Комментарии
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aw man I was getting excited thinking there were gonna be tensors since we need higher order derivatives

mastershooter
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Regarding the stipulation about continuity, am I recalling correctly that we are saying f is C^2?

danieljulian
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Recalling what you said in case f has multiple outputs, just treat the components one at a time, but is this going to start looking like some kind of matrix when we actually Taylor it? Or are the outputs just independent, each with their own TS?

danieljulian