Let f(x) lt 0 AA x in (-oo, 0) and f (x)...

Let `f(x) lt 0 AA x in (-oo, 0) and f (x) gt 0 AA x in (0,oo) ` also `f (0)=0,` Again `f'(x) lt 0 AA x in (-oo, -1) and f '(x) gt AA x in (-1,oo)` also `f '(-1)=0` given `lim _(x to oo) f (x)=0 and lim _(x to oo) f (x)=oo` and function is twice differentiable.
The minimum number of points where `f'(x)` is zero is:

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