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When I first learnt derivatives, it helped to have a real world application to draw analogies to. The first derivative [math]dy/dx[/math], as you probably already Our п¬Ѓnal application of the second derivative is less mathematical, and more physical. If we have a function of position, say y(t),

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Learn how to use the First Derivative Test to find critical numbers, increasing and decreasing intervals, and relative max and mins. Use the Second Derivative Test to Let's consider another example before we introduce the second derivative. We have seen the function several times already and noted its local maximum and minimum value.

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Second Derivative (Read about derivatives first if you don't already know what they are!) A derivative basically gives you the slope of a function at any point. The second derivative may be used to determine local extrema Applications of the Derivative Another drawback to the Second Derivative Test is that for

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31/03/2008В В· Concavity and Second Derivatives - Examples of using the second derivative to determine where a function is concave up or concave down. Applications of the Second Derivative What does the second derivative tell us? It tells us the rate of change of the rate of change. In particular,

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To use the second derivative test to determine relative maxima and minima of a function, Go to Applications of Derivatives in AP Calculus: Help and Review At an inflection point, the second derivative may be zero, These are abbreviations for multiple applications of the derivative operator. For example,