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TBDRM
9 months ago

Can anyone confirm if that’s true?

Yeah, that’s right.

That, for example, both at the turning point and at the saddle point, it is so that if the third derivation is smaller than zero then a left curvature is present at a spelling?

That’s right. If the third derivation is less than zero, a high point is present in the first derivation (second derivation is zero), i.e. the slope increases first, then decreases—that is, the output function is first left, then curved right. Analogously in the other case, only then there is a right-left course (first derivation has low point, i.e. only falling slope, then rising). All of course with the condition that the curvature, i.e. the second derivative, is zero at the point

Halbrecht
9 months ago

A saddle point is “bloß” a WP with horizontal tangent

.

Turning point at 2/3

f””(2/3) > 0

from right to left curve

.

.

and here the same Fkt with MAL -1

f””(2/3) is < 0