Differentiation Question 284
Question: $ \frac{d}{dx}{\log _{\sqrt{x}}}(1/x) $ is equal to
[AMU 1999]
Options:
A) $ -\frac{1}{2\sqrt{x}} $
B) - 2
C) $ -\frac{1}{x^{2}\sqrt{x}} $
D) 0
Show Answer
Answer:
Correct Answer: D
Solution:
$ f(x)={\log _{\sqrt{x}}}( \frac{1}{x} )=\frac{\log ( \frac{1}{x} )}{\log \sqrt{x}}=\frac{(-1)\log x}{(1/2)\log x}=-2 $
Therefore $ {f}’(x)=0 $ .
BETA
