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An inflection point is not a saddle point, but a saddle point is an inflection point.

To be precise, a saddle point is both a stationary point and an inflection point. An inflection point is a point at which the curvature changes sign, so it is not necessary to be a stationary point.

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Q: Is inflection point the saddle point?
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Related questions

What Is Point Of Inflection?

An inflection point is a point on a curve at which the sign of the curvature (i.e., the concavity) changes.


Is critical point also an inflection point?

no, a critial point is where the slope (or the derivitive) is 0. the inflection point is when the graph switches from concave up to concave down or vice versa


Why do you need to find the inflection point on a graph?

To find the inflection points on a graph, you need to take the second derivative. Then, set that equal to zero to find the x value(s) of the inflection point(s).


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What you call the point when a curve changing from concave upward to concave downward?

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Is it always true that for any polynomial px if x is a zero of the derivative then x px is a maximum or minimum value of px?

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