The correct option is
A has exactly one point of minima
Above is the graph of given function and it shows that the function has exactly one minima
For f(x)=x2−2√1+x2
f′(x)=x(x2+4)(1+x2)1.5
f′(x)=0 at x=0
f′(−1)=−52√2 ∴ function is decreasing
f′(1)=52√2 ∴ function is increasing
∴ f(x) has exactly one point of minima at x=0
Correct option is C
![1069811_1162456_ans_b024892498674a92b7cf20c91b68842b.JPG](https://search-static.byjusweb.com/question-images/toppr_ext/questions/1069811_1162456_ans_b024892498674a92b7cf20c91b68842b.JPG)