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real_function_derivative [2015/04/10 20:46] nikolaj |
real_function_derivative [2016/04/13 09:26] nikolaj |
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| d[f_][x_] = Limit[H[r] (f[x + 1/H[r]] - f[x]), r -> Infinity]; | d[f_][x_] = Limit[H[r] (f[x + 1/H[r]] - f[x]), r -> Infinity]; | ||
| - | d[#^m &][x] | + | d[#^n &][x] |
| </code> | </code> | ||
| Line 59: | Line 59: | ||
| === Reference === | === Reference === | ||
| - | Wikipedia: [[http://en.wikipedia.org/wiki/Derivative_of_a_function|Derivative of a function]] | + | Wikipedia: |
| + | [[http://en.wikipedia.org/wiki/Derivative_of_a_function|Derivative of a function]] | ||
| + | |||
| + | Calculus developed with infinitesimals (non-standard analysis) instead of limits: | ||
| + | [[http://www.math.wisc.edu/~keisler/calc.html]] | ||
| ----- | ----- | ||
| === Context === | === Context === | ||
| [[Open subsets of ℝⁿ]], [[ε-δ function limit]], [[Continuous function]] | [[Open subsets of ℝⁿ]], [[ε-δ function limit]], [[Continuous function]] | ||
