Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

De afgeleide $https://latex.codecogs.com/png.image?\dpi{110}\mathbf{D}\; \ln \left [ (\ln x)^2 \right ]$ is gelijk aan ( x > 1 )	A. $\large\boldsymbol{\frac {1} {x} }$
	B. $\large\boldsymbol{\frac {2} {x.\ln x} }$
	C. $\large\boldsymbol{\frac {2} {x\ln x^2} }$
	D. $\large\boldsymbol{\frac {2} {x.(\ln x)^2} }$
	E. $\large\boldsymbol{\frac {1} {x.\ln x} }$

ln x is de natuurlijke logaritme van x (ook Neperiaanse logaritme genoemd)

[ 6-5235 - op net sinds 23.3.16-()-3.11.2023 ]

Translation in E N G L I S H

IN CONSTRUCTION Derivative	A.
	B.
	C.
	D.
	E.

Oplossing - Solution

$https://latex.codecogs.com/png.image?\dpi{110}\\\mathbf{D}\; \ln \left [ (\ln x)^2 \right ]=\frac{1}{(\ln x)^2}.D\: (\ln x)^2=\frac{1}{(\ln x)^2}. 2\ln x. D\ln x=\frac{1}{\ln x}. 2. \frac 1x=\frac{2}{x.\ln x}$

De afgeleide $https://latex.codecogs.com/png.image?\dpi{110}\mathbf{D}\; \ln \left [ (\ln x)^2 \right ]$ is gelijk aan ( x > 1 )	A. \(\large\boldsymbol{\frac {1} {x} }\)
	B. \(\large\boldsymbol{\frac {2} {x.\ln x} }\)
	C. \(\large\boldsymbol{\frac {2} {x\ln x^2} }\)
	D. \(\large\boldsymbol{\frac {2} {x.(\ln x)^2} }\)
	E. \(\large\boldsymbol{\frac {1} {x.\ln x} }\)