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--- jancraats:hoofdstuk_20:pagina_178 [2012/10/05 12:32] – [20.19] jerry
+++ jancraats:hoofdstuk_20:pagina_178 [2022/09/01 11:44] (current) – external edit 127.0.0.1
@@ Line 176: / Line 176: @@
  $\ln \sqrt[3]{x} + \frac{1}{3}$
-===== 20.19 =====
-**a**
-$$
-\begin{split}
-\sin( x - 3 ) &\rightarrow \cos( x - 3 )
-\end{split}
-$$
-**b**
-$$
-\begin{split}
-\cos( 2x + 5 ) &\rightarrow - \cos( 2x + 5 ) \cdot 2 \\
-&\rightarrow -2 \cos( 2x + 5 )
-\end{split}
-$$
-**c**
-$$
-\begin{split}
-sin( 3x - 4 ) &\rightarrow \cos{( 3x - 4 )} \cdot 3 \\
-&\rightarrow 3 \cos( 3x - 4 )
-\end{split}
-$$
-**d**
-$$
-\begin{split}
-\cos{ x^2 } &\rightarrow - \sin{ x^2 } \cdot 2x \\
-&\rightarrow -2x sin{ x^2 }
-\end{split}
-$$
-**e**
-$$
-\begin{split}
-\sin{ \sqrt{x} } &\rightarrow \cos{ \sqrt{x} } \cdot \frac{1}{2} x^{ - \frac{1}{2} } \\
-&\rightarrow \frac{ \cos{ \sqrt{x} } }{ 1 } \cdot \frac{1}{2} \cdot \frac{1}{ \sqrt{x} } \\
-&\rightarrow \frac{ \cos{ \sqrt{x} } }{ 2 \sqrt{x} }
-\end{split}
-$$
-<note tip>
-Facts:
-$$
-\frac{1}{ \sqrt{x} } = x^{ \frac{1}{2} }
-$$
-$$
-\frac{1}{ x } = x^{ -1 }
-$$
-</note>