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
Rectilinear Motion
Meets these NCTM Standards:
- Moving Man Applet - A java applet where you can move a man and see a graph of his position, velocity, and acceleration over time.
- What is rectilinear motion?
- How do you find instantaneous velocity in Calculus?
- How do you find instantaneous acceleration in Calculus?
- What does a velocity graph look like?
- What does an acceleration graph look like?
- How do you solve free fall problems in Calculus?
- How do you write an equation for a ball bouncing?
A very applicable lesson in Calculus. This video discusses instantaneous velocity if we know the position for given times. The graphs and the equations for position and velocity are shown and explained. Acceleration, or the second derivative of the position equation, is also discussed. The animations of the graphs are really helpful in understanding the concepts in the video. Free fall problems common in Physics are explained very well.


