Example #3. Let's do another example. Let's say we have a function, and it looks a little bit like this. How many maximum and minimum values are there on this graph?
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CONCAVITY AND INFLECTION POINTS. Find the Second Derivative of the function, f. Set the Second Derivative equal to zero and solve. Determine whether the
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The definition of the concavity of graphs is introduced along with inflection points. Examples, with detailed solutions, are used to clarify the concept of concavity.
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Concavity and the Second Derivative Test. If is a function, the second derivative of y (or of f) is the derivative of the first derivative.
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Example #3. Let's do another example. Let's say we have a function, and it looks a little bit like this. How many maximum and minimum values are there on this graph?
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Concavity, Inflection Points and Second Derivatives :
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Ex: Determine Increasing / Decreasing / Concavity by Analyzing the Graph of a Function :
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Determining Intervals of Concavity Using Derivatives (the second derivative, specifically) :
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CONCAVITY AND INFLECTION POINTS. Find the Second Derivative of the function, f. Set the Second Derivative equal to zero and solve. Determine whether the
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Ratings : 70 %
The definition of the concavity of graphs is introduced along with inflection points. Examples, with detailed solutions, are used to clarify the concept of concavity.
Read More
Ratings : 61 %
Ex: Determine Concavity and Points of Inflection - f(x)=x^2*e^(4x) :
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Determining the concavity of a function :
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Online Notes / Calculus I (Notes) / Applications of Derivatives / The Shape of a Graph, Part II
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Screencast 1.6.3: Determining concavity from a graph :
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Calculus I - Concavity and Inflection Points - Example 1 :
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First and Second Derivative of Parametric Equations - Concavity :
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Ex: Determine Concavity and Points of Inflection :
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Identify concavity from a first derivative graph :
Ratings : 60 %