Where I entered the differential as Esc dd Esc and the integral as Esc int Esc. Similarly, you can enter integrals by doing this: Now to evaluate this completely traditional looking input, highlight it and select the menu item Evaluation > Evaluate in Place:.Make a fraction by highlighting the numerator and pressing Ctrl- /, followed by the denominator:.The Null can be highlighted and overwritten with our intended derivative, using Esc pd Esc for the $\partial$ symbol, and the traditional notation for $\sin(x)$ with lower case and round parentheses:.Convert the cell to TraditionalForm ( Cell > Convert To > TraditionalForm).Start a new numbered display equation ( Format > Style > DisplayFormulaNumbered). Let's say you want to know the derivative of $\cos(x)$. It's a step-by step walkthrough, so I'll use screen shots and menu commands instead of keyboard shortcuts (the latter make it much more streamlined but harder to explain): I'll illustrate this without assuming any special stylesheet settings, starting from a default notebook (this is the version 8 default, not version 9 which I dislike). If you're really used to traditional math notation, you can also enter and evaluate your derivatives and integrals in TraditionalForm.
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