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
Calculation of Derivatives
Calculation of Derivatives
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Meets these NCTM Standards:
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.
The power, product, reciprocal, and quotient rules for calculating derivatives.
- Some Differentiation Formulas - Practice Problems Using Some Differentiation Formulas.
- Table of Derivatives - Table of derivatives of several different functions.
- Differentiation Identities - Limit definitions of the derivative, Fundamental Theorem for Derivatives, and rules of derivatives
- What is the power rule?
- What is the product rule?
- What is the reciprocal rule?
- What is the quotient rule?
- What is the derivative of a constant function?
- What is the derivative of the identity function, f(x) = x?
- What is the derivative of the square root of x?
This lesson explains and shows several examples of rules and properties for finding derivatives. The lesson also shows why these rules work and are true. Really slow and thorough explanations help make the product rule and quotient rule make more sense. Again in this video, the real strength is all of the examples, which really help solidify the ideas.
