VIDEOS for CHAPTER 10

This video goes through how to find the equation of the tangent and the normal to a curve at a point on it. 

This video goes through increasing and decreasing functions and using the derivative to establish when a function is increasing and when it is decreasing. 

This video goes through how to use the sign of the derivative to establish the nature of the stationary point. 

This video goes through a past Exam question in order to explain how to establish the NATURE of stationary points. Pause the video and solve the problem before watching the rest.

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Here is a video which goes through all the steps required in solving Max/Min problems

Here is a video which goes through a  Maximum /Minimum problem in detail.

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Here is another video on a Maximum/Minimum problem.  Pause the video and try to solve the problem yourself before continuing.  Or else, if you get stuck, watch the next step, then pause and try to continue the next step yourself. 

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Here is a video which explains AVERAGE RATE of change of a function.  The average rate of change between two points on a graph is the gradient of the secant connecting them. 

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Here is a Related Rates problem explained.  Solve the problem and then play the video to check your solution!

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Here is another video on Related Rates similar to the one above. You can use this one as another Practice question. The problem is solved in a slightly different manner to the one above, but it helps to know both methods. Don't be put off by the fact that he says it is a Specialist Maths problem. It is also Maths Methods!!

Here is another rate of change problem. Pause the video, solve the problem and then check your solution.

This video goes through the theory of the Linear Approximation in detail

This video explains the linear approximation very clearly 

This video explains the concept of Average Rate of change of a function