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Extra oefeningen
Bepaal de afgeleide:
$ \eqalign{ & a.\,\,\,\,\,f(x) = \left( {4x - 3} \right)^{12} \cr & b.\,\,\,\,g(x) = 2\sqrt {3x + 4} \cr & c.\,\,\,\,h(x) = \frac{3} {{\left( {2x - 1} \right)^4 }} \cr} $ |
Opdracht 1a
$ \eqalign{ & f(x) = \left( {4x - 3} \right)^{12} \cr & f'(x) = 12(4x - 3)^{11} \cdot 4 \cr & f'(x) = 48(4x - 3)^{11} \cr} $ |
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Opdracht 1b
$ \eqalign{ & g(x) = 2\sqrt {3x + 4} \cr & g'(x) = 2 \cdot \frac{1} {{2\sqrt {3x + 4} }} \cdot 3 \cr & g'(x) = \frac{3} {{\sqrt {3x + 4} }} \cr} $
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Opdracht 1c
$
\eqalign{
& h(x) = \frac{3}
{{\left( {2x - 1} \right)^4 }} \cr
& h(x) = 3(2x - 1){}^{ - 4} \cr
& h'(x) = 3 \cdot - 4(2x - 1){}^{ - 5} \cdot 2 \cr
& h'(x) = - 24(2x - 1)^{ - 5} \cr
& h'(x) = - \frac{{24}}
{{(2x - 1){}^5}} \cr}
$
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