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 $f^{\prime }(x)=0$, the point $x$ can be a local maximum point of the function $f$
3. If $f^{\prime }(x)=0$, 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