2022-089

Select the false statement regarding derivatives:

1. The derivative at a point of the function y=f(x) represents the instantaneous rate of change of y with respect to x at that point
2. If \( f'(x) = 0 \), the point \( x \) can be a local maximum point of the function \( f \)
3. If \( f'(x) = 0 \), the point \( x \) can be a local minimum point of the function \( f \)
4. Derivatives determine the area under the function graph in the cartesian plane
5. None of the above

Original idea by: Victória Pedrazzoli