The+Second+Derivative

**__Lesson 1 - The Second Derivative__** Here is a song about the 1st and 2nd derivatives. media type="youtube" key="JCCq30DXUpo?rel=0" height="360" width="480" align="center"
 * __The Second Derivative __** In calculus, the second derivative of a function is the derivative of the derivative. The second derivative measures how the rate of change is itself changing. For example, the second derivative of the position of a vehicle with respect to time is the instantaneous acceleration of the vehicle, or the rate at which the velocity of the vehicle is changing.

Open this file and save it to your laptop for the lesson notes on Exercise 16.1 Here is a tutorial demonstrating the second derivative test. media type="youtube" key="wRBCvDy2jEY?rel=0" height="360" width="480" align="center"

**__Lesson 2 - Sign of the Second Derivative__** Open this file and save it to your laptop for the lesson notes on Exercise 16.2 Here is a video explaining the second derivative test for maximum and minimum points. media type="youtube" key="H5NUHY38kGc?rel=0" height="360" width="480" align="center" __**Lesson 3 - Points of Inflexion (Inflection) **__  Open this file and save it to your laptop for the lesson notes on Exercise 16.3 Here is a video about applying the second derivative test. media type="youtube" key="D3jvOp3xRdQ?rel=0" height="360" width="480" align="center"

**__Lesson 4 - Second Derivative Test For Stationary Points __** Open this file and save it to your laptop for the lesson notes on Exercise 16.4  This video shows a demonstration of the first and second derivative tests. media type="youtube" key="Z7QWpBU1ePU?rel=0" height="360" width="640" align="center"  __**<span style="font-family: 'Comic Sans MS',cursive; font-size: 20px;">Lesson 5 - Curve Sketching **__ <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: center;">Open this file and save it to your laptop for the lesson notes on Exercise 16.5 <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; text-align: center;">This video uses the first and second derivative to solve a problem. media type="youtube" key="k9XLUtw8VBc?rel=0" height="360" width="480" align="center"

__**<span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Lesson 6 - Maxima & Minima Problems **__ <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Open this file and save it to your laptop for the lesson notes on Exercise 16.6 <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">This video shows an overview of concavity and the second derivative. media type="youtube" key="oa3c0QM8jUI?rel=0" height="360" width="480" align="center" __**<span style="font-family: 'Comic Sans MS',cursive; font-size: 150%;">Lesson 7 - The Primitive Function (Anti-Differentiation) **__ <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; text-align: center;">Open this file and save it to your laptop for the lesson notes on Exercise 16.7

<span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: center;">Use your username and password to watch this tutorial about inflexion points from MathsOnline. <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: center;">Inflexion Points __**<span style="font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px;">Lesson 8 - Application of the Primitive Function **__ <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: center;">Open this file and save it to your laptop for the lesson notes on Exercise 16.8 <span style="font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 0px;"> <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: center;">Use your username and password to watch this tutorial from MathsOnline. <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 20px; line-height: 29px; text-align: center;">Graphs & Their Derivatives <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; line-height: 0px; overflow-x: hidden; overflow-y: hidden; text-align: center;"> This video shows an overview of concavity and the second derivative. <span style="display: block; font-family: 'Comic Sans MS',cursive; font-size: 150%; line-height: 0px; overflow-x: hidden; overflow-y: hidden; text-align: center;">