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--- teaching:topics:calculus:notation [2024/05/10 10:58]
simon [Leibniz]
+++ teaching:topics:calculus:notation [2024/05/10 11:13] (current)
simon [Lagrange]
@@ Line 96: / Line 96: @@
 function notation introduced earlier in the 18th century by Euler and others. This is another distinct
 mathematical perspective, and a language that facilitates a very different kind of thinking.
+\[{\rm f}(t)\]
+a function with values that depend on the variable `t`,
+\[{\rm f}'(t)\]
+the function that is the derivative of that function,
+\[{\rm f}^{\prime\prime}(t)\]
+the function that is the derivative of that derivative function,
+\[\text{and even} \quad {\rm f}^{(n)}(t)\]
+the function that is the `n`th derivative of \({\rm f}(t),\)
+\[\text{or sometimes} \quad {\rm f}^{(-n)}(t)\]
+the `n`th antiderivative or indefinite integral of \({\rm f}(t).\)
-\begin{align*}%%
-{\rm f}(t) &&& \text{a function with values that depend on the variable } t \\
-{\rm f}'(t) &&& \text{the function that is the derivative of that function} \\
-{\rm f}^{\prime\prime}(t) &&& \text{the function that is the derivative of that derivative function} \\
-\text{and even} \quad {\rm f}^{(n)}(t) &&& \text{the function that is the }n \text{th derivative of }{\rm f}(t) \\
-\text{or sometimes} \quad {\rm f}^{(-n)}(t) &&& \text{the  }n\text{th antiderivative or intergal of }{\rm f}(t)
-%%\end{align*}

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