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
Higher-Order Derivatives
Higher-Order Derivatives
981 views - 00:20:07
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.
Higher-order derivatives. Concavity. Local approximation by linear, quadratic, and cubic polynomials.
- The d/dx Notation; Higher Order Derivatives - Practice with d/dx Notation and Higher Order Derivatives.
- How do you find higher-order derivatives?
- How do you find the third derivative of a function?
- How do you find the fourth derivative of a function?
- What does it mean for a graph to be concave up or concave down?
- What is an inflection point?
- What is linear approximation?
- What is quadratic approximation?
- How do you find the linear and quadratic approximations of functions at a value?
- What is cubic approximation?
In this video, you will learn how to find the second, third, fourth, and higher derivatives of functions, including polynomials trig functions, and square root functions. Also, you will learn what the derivatives mean graphically. Some of the graphs shown are really interesting and helpful for understanding what is really going on with first and second derivatives, concavity, and inflection points. Linear, quadratic, and cubic approximations of functions are also found and shown graphically. A really interesting video.
