27 videos in "Derivatives / Rules of Derivatives"
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Introduction to Derivatives
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The Derivative
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Calculation of Derivatives
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Derivatives of Trigonometric Functions
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Leibniz Notation and the Chain Rule
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Rectilinear Motion
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Higher-Order Derivatives
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Critical Numbers and the First Derivative Test
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Concavity and the Second Derivative Test
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The Power Rule
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Derivatives Part 1
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Derivatives Part 2
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Derivatives Part 3
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![[C.2] Numerical Derivative preview image](http://pi.mathvids.com/thumbs/1286-1.jpg)
[C.2] Numerical Derivative
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![[C.3] Elasticity preview image](http://pi.mathvids.com/thumbs/1287-1.jpg)
[C.3] Elasticity
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Derivative of a Sum-Product-Quotient-Composition
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Sign of Derivative and Increasing or Decreasing
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Increasing or Decreasing Derviative from Function
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Cartesian Graphs and the Second Derivative
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Excel Project 1 - Acceleration of Sales
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Notations and Power Rule
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Chain Rule
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Derivative of Exponential
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Max and Min
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Elasticity Part 1
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Elasticity Part 2
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Elasticity Part 3 - Calculator
Critical Numbers and the First Derivative Test
Critical Numbers and the First Derivative Test
977 views - 00:17:35
Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.
Critical numbers of a function. The first derivative test for local extrema.
- Increasing and Decreasing Functions - Practice with Increasing and Decreasing Functions.
- Local Extreme Values (critical numbers) - Practice with Local Extreme Values (critical numbers).
- What is a critical number?
- What is the first derivative test?
- What is a local extreme value?
- How do you find local minimum and local maximum values of a function?
- How do you pick test points for critical points?
Discussed in this video are critical numbers, critical points, and how to determine whether a point of a function is a local minimum, local maximum, or neither using the first derivative test. Several examples are done, and the common, accepted method for making a sketch of f’(x) for critical points is shown, as well as picking test points and determining local minimum and local maximum points for the function. This is a truly useful video for any Calculus student.
plenty of examples!
