A) \[\frac{1}{x}\]
B) \[-\frac{1}{x}\]
C) x
D) \[-x\]
Correct Answer: A
Solution :
\[\log |x|\,=\log x\], if \[x>0\]\[=\log (-x)\], if \[x<0\] Hence \[\frac{d}{dx}\left\{ \log |x| \right\}=\frac{1}{x}\],if \[x>0\] \[=\left( \frac{1}{-x} \right)(-1)=\frac{1}{x}\],if \[x<0\] Thus \[\frac{d}{dx}\left\{ \log |x| \right\}=\frac{1}{x}\], if \[x\ne 0\].You need to login to perform this action.
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