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Four questions on partial differentiation. The first two involve finding the first and second partial derivative of a polynomial in x and y. The third involves finding a first partial derivative using the chain rule. The fourth involves finding a second partial derivative involving the product rule. DEWIS resources have been made available under a Creative Commons licence by Rhys Gwynllyw & Karen Henderson, University of the West of England, Bristol.

In this unit we show how differentiation can be used to find the maximum and minimum values of a function. Because the derivative provides information about
the gradient or slope of the graph of a function we can use it to locate points on a
graph where the gradient is zero. We shall see that such points are often associated
with the largest or smallest values of the function, at least in their immediate
locality. In many applications, a scientist, engineer, or economist for example, will
be interested in such points for obvious reasons such as maximising power, or profit, or minimising losses or costs. (Mathtutor Video Tutorial)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

In this unit we show how differentiation can be used to find the maximum and minimum values of a function. Because the derivative provides information about
the gradient or slope of the graph of a function we can use it to locate points on a
graph where the gradient is zero. We shall see that such points are often associated
with the largest or smallest values of the function, at least in their immediate
locality. In many applications, a scientist, engineer, or economist for example, will
be interested in such points for obvious reasons such as maximising power, or profit, or minimising losses or costs. (Mathtutor Video Tutorial)
The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Video for iPod.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Video for iPod.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Video for iPod.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Video for iPod.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

This video segment continues to work with surds.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

This video segments looks at some rules used when working with surds.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

This video segment concludes the material on surds.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

This video segment introduces percentages.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

Video for iPod.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

This video segment continues to discuss surd forms.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

A ratio is a way of comparing two or more similar quantities, by writing two or more numbers separated by colons.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

A ratio is a way of comparing two or more similar quantities, by writing two or more numbers separated by colons.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

A ratio is a way of comparing two or more similar quantities, by writing two or more numbers separated by colons.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

This video segment develops the material in the previous unit on percentages.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

This mathtutor animation shows how the formula a cos x + b sin x = R cos(x-alpha) may be derived using right angled triangles. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

This video segment introduces surds, such as the square root of 2.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

This mathtutor extension video illustrates Pythagoras's theorem with pizzas. This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

This unit develops the previous unit on percentages.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

This unit develops the previous unit on percentages.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

In this unit we look at how we can use logarithms to simplify certain functions before we differentiate them. (Mathtutor Video Tutorial)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

In this unit we look at how we can use logarithms to simplify certain functions before we differentiate them. (Mathtutor Video Tutorial)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

This video segment discusses the importance of considering the order in which operations are carried out.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.

In this unit we shall look at the meaning of percentages and carry out calculations involving percentages. We will also look at the use of the percentage button on calculators. (Mathtutor Video Tutorial)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.