Solution 1.1:2b
From Förberedande kurs i matematik 2
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| - | {{ | + | The expression is a sum of two terms which we differentiate one by one, |
| - | + | ||
| - | {{ | + | {{Displayed math||<math>\begin{align} |
| + | f^{\,\prime}(x) | ||
| + | &= \frac{d}{dx}\,\bigl(\cos x-\sin x\bigr)\\[5pt] | ||
| + | &= \frac{d}{dx}\,\cos x - \frac{d}{dx}\,\sin x\\[5pt] | ||
| + | &= -\sin x-\cos x\,\textrm{.} | ||
| + | \end{align}</math>}} | ||
Current revision
The expression is a sum of two terms which we differentiate one by one,
| \displaystyle \begin{align}
f^{\,\prime}(x) &= \frac{d}{dx}\,\bigl(\cos x-\sin x\bigr)\\[5pt] &= \frac{d}{dx}\,\cos x - \frac{d}{dx}\,\sin x\\[5pt] &= -\sin x-\cos x\,\textrm{.} \end{align} |
