MCQ
Function $f(x) = \frac{{{x^2} - 2}}{{\sqrt {1 + {x^2}} }}$
- Ais always increasing
- Bis always decreasing
- ✓has exactly one point of minima
- Dhas exactly one point of maxima
✓
Answer
Correct option: C.
has exactly one point of minima
c
$f^{\prime}(x)=\frac{x\left(x^{2}+4\right)}{\left(1+x^{2}\right)^{3 / 2}},$
$f^{\prime}(x)=\frac{x\left(x^{2}+4\right)}{\left(1+x^{2}\right)^{3 / 2}},$
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