Property 25

Functions 1st Derivative and 2nd Derivative

(\(f'(x)>0\) resultant x values f is increasing function.)

(\(f'(x)<0\) resultant x values f is decreasing function.)

(\(f'(x)=0\) in case; x point is extremum point.)

(Extremum point is the local maximum or the local minimum point)

Curvature direction is pointing up

Curvature direction is pointing down

a is turn (twist) point