Wednesday, 27 June 2012

How to Define Inflection Point

In the previous post we have discussed about Implicit Differentiation and In today's session we are going to discuss about Inflection point, It is a term which is generally used under the theory of the differential calculus in the subject of the math. We all must have heard about the point of the inflection but many of us do not know its exact meaning. So in this article we will discuss some of the facts about the inflection point.
We will now begin with the definition of the inflection point. The point of the inflection is generally defined as a point existing on the curve where the sign of the concavity or the sign of the curvature changes from the positive to the negative or from the negative to the positive. By the above definition of the point of the inflection we mean to say that at the point of the inflection the curve either changes from the concave upwards which is known as the positive curvature to the concave downwards which is known as the negative curvature or can change from the concave downwards that is the negative curvature to the concave upwards that is the positive curvature.
We have now discussed about the definition of the point of the inflection in the last paragraph so let us now take an easy, simple and a practical example in this paragraph to understand about the point of the inflection more precisely. Suppose a person is driving a car along a road which is of winding type then the point of the inflection there is that point where the wheel of the steering straight for a moment when the car is just turned from the right to the left or from the left to the right.
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