https://wortel.tty32.org/ 2026-06-29T23:33:14+00:00 https://wortel.tty32.org/ https://wortel.tty32.org/lib/tpl/dokuwiki/images/favicon.ico text/html 2022-09-01T13:44:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://wortel.tty32.org/doku.php?id=jancraats:hoofdstuk_20:pagina_176&rev=1662032649&do=diff 20.1 a $$ \begin{split} 2x-3 &\rightarrow 2x^{1} \\ &\rightarrow 2 \end{split} $$ b $$ \text{Constant value not able to differentatie goes to 0} $$ c $$ \begin{split} 4x^{2}+1 &\rightarrow 4x^{2-1} \\ &\rightarrow 2\cdot4x^1 \\ &\rightarrow 8x \end{split} $$ d $$ \begin{split} 10x^7 &\rightarrow 10x^{7-1} \\ &\rightarrow 7 \cdot 10x^6 \\ &\rightarrow 70x^6 \end{split} $$ e $$ \begin{split} 4x + x^3 &\rightarrow 4 + 3x^2 \end{split} $$ 20.2 a $$ \begin{split} x^3 - 3 &\rightarro… text/html 2022-09-01T13:44:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://wortel.tty32.org/doku.php?id=jancraats:hoofdstuk_20:pagina_178&rev=1662032649&do=diff 20.10 e $$ \begin{split} (x - x^4) ^ {-2} \\ -2 (x - x^4) ^ {-3} \cdot 1 - 4 x^3 \\ -2(x - x^4) ^ {-3} \end{split} $$ Behalve de kettingregel gebruik je ook de somregel! 20.11 a $$ \begin{split} ((2x-3)^5)' &\rightarrow 5 ( 2x - 3 )^4 \cdot 2 \\ &\rightarrow 10 ( 2x - 3 )^4 \end{split} $$ b $$ \begin{split} ((x^2 + 5)^{-1})' &\rightarrow -1 (x^2 + 5)^{-2} \cdot 2x \\ &\rightarrow -2x(x^2+5)^{-2} \end{split} $$ c $$ \begin{split} ((\sqrt{3x - 4}))' &\rightarrow \frac{1}{… text/html 2022-09-01T13:44:09+00:00 Anonymous (anonymous@undisclosed.example.com) https://wortel.tty32.org/doku.php?id=jancraats:hoofdstuk_20:pagina_180&rev=1662032649&do=diff 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 <note tip> $$ \frac{1}{ \sqrt{x} } =…