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
Sign of Derivative and Increasing or Decreasing
Sign of Derivative and Increasing or Decreasing
583 views - 00:04:19
Part of video series Rate of Change of Relationships / Functions
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Given a Cartesian graph of a function be able to determine when the rate of change of that function is increasing and decreasing or has obtained an extrema.
- How do you know when the derivative of a function is positive or negative?
- How do you know if a function is increasing or decreasing based on the sign of its derivative at a point?
- What is the relationship between the graph of a function and the graph of its derivative?
This lesson explains another relationship between a function and its derivative. It explains what is happening on a function when the derivative of the function is positive or negative. There is just one basic idea to this lesson: a function is increasing when its derivative is positive, and it is decreasing when the derivative is negative.
