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--- jancraats:hoofdstuk_20:pagina_180 [2012/10/05 14:47] – created jerry
+++ jancraats:hoofdstuk_20:pagina_180 [2022/09/01 13:44] (current) – external edit 127.0.0.1
@@ Line 62: / Line 62: @@
 &\rightarrow \frac{ \cos{ \sqrt{x} } }{ 2 \sqrt{x} }
+\end{split}
+$$
+===== 20.20 =====
+**a**
+$$
+\begin{split}
+\tan{( x + 2)} &\rightarrow \frac{ 1 }{ \cos^2 ( x + 2 ) }
+\end{split}
+$$
+**b**
+$$
+\begin{split}
+\tan{( 2x - 4 )} &\rightarrow \frac{ 1 }{ \cos^2 ( 2x - 4 ) } \cdot 2 \\
+&\rightarrow \frac{ 2 }{ \cos^2 ( 2x - 4 ) }
+\end{split}
+$$
+**c**
+$$
+\begin{split}
+\sin( x^2 - 1 ) &\rightarrow \cos( x^2 - 1 ) \cdot 2x \\
+&\rightarrow 2x \cos( x^2 -1 )
+\end{split}
+$$
+**d**
+$$
+\begin{split}
+\cos( \frac{1}{x} ) &\rightarrow \cos x^{-1} \\
+&\rightarrow - \sin(x^-1) \cdot -1x^{-2} \\
+&\rightarrow -x \sin( x^{-1} )^{-2}
+\end{split}
+$$
+**e**
+$$
+\begin{split}
+TODO
 \end{split}
 $$