teaching:topics:calculus:notation
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teaching:topics:calculus:notation [2024/05/10 10:53] simon [Leibniz] |
teaching:topics:calculus:notation [2024/05/10 10:55] simon [Leibniz] |
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| is the ratio of the instantaneous changes in two related values, | is the ratio of the instantaneous changes in two related values, | ||
| \[\frac{\rm d}{{\rm d}t}(4t^2+3)\] | \[\frac{\rm d}{{\rm d}t}(4t^2+3)\] | ||
| - | is between the values of the expression and the variable. | + | is that ratio but between the values of the expression and the variable. |
| \[%%\text{repeated:}\quad\frac{{\rm d}^2}{{\rm d}x^2}(3x^3+5)\qquad\text{means:}\quad\frac{\rm d}{{\rm d}x}\left(\frac{{\rm d}}{{\rm d}x}(3x^3+5)\right).%%\] | \[%%\text{repeated:}\quad\frac{{\rm d}^2}{{\rm d}x^2}(3x^3+5)\qquad\text{means:}\quad\frac{\rm d}{{\rm d}x}\left(\frac{{\rm d}}{{\rm d}x}(3x^3+5)\right).%%\] | ||
| \[\int_a^b\!x^2 + 4x\,{\rm d}x\] | \[\int_a^b\!x^2 + 4x\,{\rm d}x\] | ||
teaching/topics/calculus/notation.txt ยท Last modified: 2024/05/10 11:13 by simon
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