Lösung 1.1:2b

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The expression is a sum of two terms which we differentiate one by one,
The expression is a sum of two terms which we differentiate one by one,
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{{Displayed math||<math>\begin{align}
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{{Abgesetzte Formel||<math>\begin{align}
f^{\,\prime}(x)
f^{\,\prime}(x)
&= \frac{d}{dx}\,\bigl(\cos x-\sin x\bigr)\\[5pt]
&= \frac{d}{dx}\,\bigl(\cos x-\sin x\bigr)\\[5pt]

Version vom 12:50, 10. Mär. 2009

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}