Topic: Concave Function
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What is concavity of a function?
Just as the slope of the tangent line to the graph of f at the point (x, f(x)) describes the behavior of the function, concavity describes the behavior of the slope. As x increases (graph goes from left to right), one of the following is tr... Read More »
Source: http://wiki.answers.com/Q/What_is_concavity_of_a_function
How to Use the Second Derivative to Determine the Concavity of a ...
The Point of Inflection is the point on a graph where the Tangent Line crosses the graph. That is, when the curve is Concave Down, the Tangent Line touches the curve above the curve and when the curve is Concave Up, the Tangent Line touches... Read More »
Source: http://www.ehow.com/how_5237857_use-derivative-determine-concavit...
What is concave function?
( ′kän′kāv ′fəŋk·shən ) (mathematics) A function f(x) is said to be concave over the interval a,b if for any three points x1, x2, x3 such that a<x1<x2<x3<b, f(x2)≥L(x2), where L(x) is the equation of the straight line passing through the po... Read More »
Source: http://www.answers.com/topic/concave-function
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Concave Function
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F(x) is said to be concave on an interval [a,b] if, for any points x1 and x2 in [a,b], the ftn -F(x) is convex on that interval.
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Source: http://www.chacha.com/question/what-is-the-formula-for-concave-fu...
Definition of a concave up curve: f(x) is "concave up" at x0 if and only if f '(x) is increasing at x0.
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Source: http://www.chacha.com/question/what-is-a-concave-up-function
if you take 2 derivatives you get 2 + 4 / x^3 , set to 0 and solve..{ down , up } { at x = 1 }
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Source: http://answers.yahoo.com/question/index?qid=20110923114733AAdU7bo
The concavity that forms on the mesial aspect of maxillary first premolars is called the cuspid groove. It is the result of the first premolar having both a buccal and palatal root. The groove functions as an alignment guide for the maxilla...
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Source: http://wiki.answers.com/Q/What_is_the_function_of_mesial_concavit...
The Second Derivative Test can be used to test concavity.
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Source: http://www.chacha.com/question/what-is-a-good-calculus-function-t...
Concavity is measured by second derivative set equals to 0. So, Cos(x)'=Sin(x) Cos(x)''=-Cos(x) <=== our second derivative -Cos(x)=0 when X=.5pi, 1.5pi, 2.5pi,...... .5+pi(n) Using that, we can find the concavity. But in order to find wheth...
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Source: http://answers.yahoo.com/question/index?qid=20070225075749AAkoGFn
