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teaching:topics:calculus:notation [2024/05/10 11:08] simon [Lagrange] |
teaching:topics:calculus:notation [2024/05/10 11:13] (current) simon [Lagrange] |
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a function with values that depend on the variable `t`, | a function with values that depend on the variable `t`, | ||
\[{\rm f}'(t)\] | \[{\rm f}'(t)\] | ||
- | the function that is the derivative of that function}, | + | the function that is the derivative of that function, |
\[{\rm f}^{\prime\prime}(t)\] | \[{\rm f}^{\prime\prime}(t)\] | ||
the function that is the derivative of that derivative function, | the function that is the derivative of that derivative function, | ||
\[\text{and even} \quad {\rm f}^{(n)}(t)\] | \[\text{and even} \quad {\rm f}^{(n)}(t)\] | ||
- | the function that is the `n`th derivative of \(\rm f}(t),\) | + | the function that is the `n`th derivative of \({\rm f}(t),\) |
\[\text{or sometimes} \quad {\rm f}^{(-n)}(t)\] | \[\text{or sometimes} \quad {\rm f}^{(-n)}(t)\] | ||
- | the \(n\)th antiderivative, or indefinite intergral, of \(\rm f}(t).\) | + | the `n`th antiderivative or indefinite integral of \({\rm f}(t).\) |