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How to find points of inflection?

To find a point of inflection, you need to work out where the function changes concavity. That is, where it changes from concave up to concave down or from concave down to concave up, just like in the pictures below. Use Calculus You guessed it! Calculus is the best tool we have available to help us find points of inflection.

What is another word for inflection?

inflection, flection, flexion(noun) deviation from a straight or normal course. Synonyms: flexure, flexion, modulation, flection, inflexion, prosody. modulation, inflection(noun) a manner of speaking in which the loudness or pitch or tone of the voice is modified. Synonyms:

What are points of inflection?

An inflection point is a point on a curve at which the sign of the curvature (i.e., the concavity) changes. Inflection points may be stationary points, but are not local maxima or local minima. For example, for the curve plotted above, the point is an inflection point.

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