Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

$https://latex.codecogs.com/png.image?\large \dpi{110}D\: \left ( -\, \frac{2}{3x} \right )=$	A. 0
	B. \(- \;\large \boldsymbol{\frac {2} {3}} \)
	C. \(\large \boldsymbol{\frac {2} {3x^2}} \)
	D. \(\large \boldsymbol{\frac {2} {3x}} \)
	E. \(- \;\large \boldsymbol{\frac {2} {3x^2}} \)

[ 5-7826 - op net sinds 9.3.15-(E)-30.10.2023 ]

Translation in E N G L I S H

$https://latex.codecogs.com/png.image?\large \dpi{110}D\: \left ( -\, \frac{2}{3x} \right )=$	A. 0
	B. −
	C. ²/_3x²
	D. ²/_3x
	E. − ²/_3x²

Oplossing - Solution

$D\left ( -\frac{2}{3x} \right )=-\frac 23\cdot D\left ( \frac 1x \right ) =-\frac 23\cdot\left ( -\frac{1}{x^2} \right )=\frac{2}{3x^2}$

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