De afgeleide van

\( \boldsymbol{ 2.\ln \sqrt x} \)  is 		A.  \(\boldsymbol{\frac {1} {x} }\)
B.  \(\boldsymbol{\frac {1} {x^2} }\)
C.   \(\boldsymbol{ 0 }\)
D.  \(\boldsymbol{\frac {1} {x\,\sqrt x} }\)
E.  \(\boldsymbol{\frac {2\:\sqrt x} { x} }\)
A    B    C    D    E

[ 5-4143 - op net sinds 13.6.2020-(E)-30.10.2023 ]

Translation in   E N G L I S H

The derivative of
\( \boldsymbol{ 2.\ln \sqrt x} \)  is 		A.   \(\boldsymbol{\frac {1} {x} }\)
B.   \(\boldsymbol{\frac {1} {x^2} }\)
C.    \(\boldsymbol{ 0 }\)
D.   \(\boldsymbol{\frac {1} {x\,\sqrt x} }\)
E.   \(\boldsymbol{\frac {2\:\sqrt x} { x} }\)

Oplossing - Solution

\(D\;(2.\ln \sqrt x) = 2.D \ln \sqrt x = 2.\frac {1}{\sqrt x}.D \sqrt x = 2.\frac {1}{\sqrt x}.\frac {1}{2.\sqrt x} = \frac 1x\)
gricha