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Question

Function f(x)=x221+x2

A
is always increasing
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B
is always decreasing
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C
has exactly one point of minima
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D
has exactly one point of maxima
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Solution

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)=x221+x2

f(x)=x(x2+4)(1+x2)1.5

f(x)=0 at x=0

f(1)=522 function is decreasing

f(1)=522 function is increasing

f(x) has exactly one point of minima at x=0


Correct option is C


1069811_1162456_ans_b024892498674a92b7cf20c91b68842b.JPG

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