Answer is: option2
Two relative maxima and one relative minimumSolution:
Critical points occur where \( f'(x) = 0 \), i.e., where the curve crosses the x-axis.
From the graph, there are four points where \( f'(x) \) crosses the x-axis.
To classify these critical points, we analyze the sign changes of \( f'(x) \):
- First Crossing: \( f'(x) \) changes from positive to negative → Relative Maximum
- Second Crossing: \( f'(x) \) changes from negative to positive → Relative Minimum
- Third Crossing: \( f'(x) \) remains positive before and after → Not an extremum
- Fourth Crossing: \( f'(x) \) changes from positive to negative → Relative Maximum
Two relative maxima
One relative minimum
The correct answer is - Two relative maxima and one relative minimum.