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teaching:topics:calculus:notation

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teaching:topics:calculus:notation [2021/05/02 12:13]
simon [Why three?]
teaching:topics:calculus:notation [2021/05/02 12:14]
simon [Leibniz]
Line 84: Line 84:
 \frac{\rm d}{{\rm d}t}(4t^2+3) &&&​ \text{is between the values of the expression and the variable} \\ \frac{\rm d}{{\rm d}t}(4t^2+3) &&&​ \text{is between the values of the expression and the variable} \\
 \text{repeated:​}\quad\frac{{\rm d}^2}{{\rm d}x^2}(3x^3+5) &&&​ \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) &&&​ \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 &&&​ \text{is the definite integral of the expression taken from }a\text{ to }b+\int_a^b\!x^2 + 4x\,{\rm d}x &&&​ \text{is the definite integral of the expression taken from }a\text{ to }b
 %%\end{align*} %%\end{align*}
 The kind of calculus that we deal with at school treats each of these as a single symbol, but it does The kind of calculus that we deal with at school treats each of these as a single symbol, but it does
teaching/topics/calculus/notation.txt ยท Last modified: 2024/05/03 18:51 by simon