Calculators and numerical differentiation
11-04-2020, 04:14 PM
Post: #11
 Wes Loewer Senior Member Posts: 344 Joined: Jan 2014
RE: Calculators and numerical differentiation
(11-03-2020 10:14 PM)Albert Chan Wrote:  Slightly off topics, for f(x) = x*g(x), getting f'(0) is easier taking limit directly.

$$f(x) = x·g(x) = x·\sqrt[3]{x^2+x}$$

$$f'(0) = \displaystyle{\lim_{h \to 0}} {f(h)-f(0)\over h} = \displaystyle{\lim_{h \to 0}}\; g(h) = g(0) = 0$$

If you pull out an $$x$$, then $$x \cdot (x^2+x)^{1/3}$$ becomes $$x^{4/3} \cdot (x+1)^{1/3}$$ which the non-CAS Npsire handles correctly.
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 Messages In This Thread Calculators and numerical differentiation - robve - 10-30-2020, 09:57 PM RE: Calculators and numerical differentiation - Paul Dale - 10-30-2020, 11:41 PM RE: Calculators and numerical differentiation - Albert Chan - 10-31-2020, 01:20 AM RE: Calculators and numerical differentiation - Wes Loewer - 11-01-2020, 05:39 AM RE: Calculators and numerical differentiation - Albert Chan - 11-01-2020, 05:39 PM RE: Calculators and numerical differentiation - Albert Chan - 11-01-2020, 11:43 PM RE: Calculators and numerical differentiation - Wes Loewer - 11-03-2020, 06:09 PM RE: Calculators and numerical differentiation - Albert Chan - 11-03-2020, 10:14 PM RE: Calculators and numerical differentiation - Wes Loewer - 11-04-2020 04:14 PM RE: Calculators and numerical differentiation - CMarangon - 11-03-2020, 06:55 PM RE: Calculators and numerical differentiation - Wes Loewer - 11-04-2020, 04:04 PM

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