The function y=2 x^2- |x|, x 0 decreases when x - Vidyadip

MCQ

The function $y=2 x^2-\ln |x|, x \neq 0$ decreases when $x \in$

A
$(-1,1)$
B
$R-\left\{-\frac{1}{2}, \frac{1}{2}\right\}$
C
$\left(-\frac{1}{2}, 0\right) \cup\left(\frac{1}{2}, \infty\right)$
✓
$\left(-\infty,-\frac{1}{2}\right) \cup\left(0, \frac{1}{2}\right)$

✓

Answer

Correct option: D.

$\left(-\infty,-\frac{1}{2}\right) \cup\left(0, \frac{1}{2}\right)$

(d)

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