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Differentiation and it's Applications — Applied Maths STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceApplied MathsDifferentiation and it's Applications1 Mark
MCQ
The function $y=\frac{1}{x}$ is strictly decreasing in the interval(s)
  • A
    (0,$\infty$)
  • B
    $(-\infty, 0)$
  • ✓
    $(-\infty, 0)$ as well as $(0, \infty)$
  • D
    R
✓

Answer

Correct option: C.
$(-\infty, 0)$ as well as $(0, \infty)$
(C) $(-\infty, 0)$ as well as $(0, \infty)$
Explanation:
$y=\frac{1}{x}$
$\left.\Rightarrow \quad \frac{d y}{d x}=-\frac{1}{x^2} \right\rvert\,<0$
for $(-\infty, 0)$ and $(0, \infty)$

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