GO Classes Test Series 2024 | Mock GATE | Test 11 | Question: 31

Answer 1

Clearly, if f’(x)>0 it is increasing so option C is true.

We should’ve f’(x) = 0 to get local maximum or minimum, so none of A and B satisfies.

Option C is only correct option.

 

Note:

If f’(x) = 0 and f’’(x)<0 --- Local Maxima

If f’(x) = 0 and f’’(x)>0 --- Local Minima

If f’(x) = 0 and f’’(x)=0 --- x is point of inflection