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Description
Most people have a basic understanding that exponential growth means rapid growth. But framing this concept in algebraic terms and applying it to concrete problems in real-world situations is a different story. Written and presented by internationally acclaimed math educator Dr. Monica Neagoy, this video builds on students' intuitive notions as it explores exponential notation and exponential function graphs with the help of TI-Nspire calculator features,...
6) Logarithmic Derivatives: Example 2 :Calculus-Derivatives: Logarithmic and Exponential Derivatives
Description
The derivative of the natural log function ln(x) is just 1/x. If the value inside the log is more complicated than just "x", we'll have to apply chain rule and multiply by the derivative of that "inside" function in order to find the derivative of the log function.
Description
Because of their dramatic changes in intensity from one point to another, earthquakes are an ideal example of exponential functions. A massive earthquake in southwestern China in 2008 caused an enormous amount of damage at its epicenter but much less at points farther away. This program compares quakes of various magnitudes that occurred in Sichuan Province to explain the difference between linear and exponential functions. The difference between...
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