# Videos

Choose from over 80 mathematical videos.

Our team of top teacher mathematicians have put together all the important topics and explain them with the types of examples that you would find in a normal textbook or exam.
• #### Differentiating sines and cosines

Differentiating sines and cosines. This video covers the differentiation of sin x and cos x from first principles.
Length: 14 minutes
• #### Differentiation by Taking Logarithms

Differentiation by taking logarithms. The logarithm of a product is a sum, and so logarithms can be used to simplify certain functions for the purpose of differentiation.
Length: 19 minutes
• #### Differentiation from First Principles

Differentiation is about rates of change for example, the slope of a line is the rate of change of y with respect to x. To find the rate of change of a more general function, it is necessary to take a limit. This is done explicitly for a simple quadratic function.
Length: 30 minutes
• #### Equations of straight lines

Equations of straight lines. In this unit the equation of a straight line is established using either information about its gradient together with the co-ordinates of a point on the line, or alternatively the co-ordinates of two different points on the line. The different ways of expressing the final equation are explored.
Length: 34 minutes
• #### Expanding and Removing Brackets

Expanding brackets means being able to rewrite the expression in an equivalent form without any brackets. This video investigates the mathematics behind expanding and removing brackets and then shows examples using simple expressions through to nesting brackets (brackets inside other brackets).
Length: 39 minutes
• #### Exponential and logarithm functions

Exponential and logarithm functions. Exponential functions and logarithm functions are important in both theory and practice. In this unit the graphs of exponential and logarithm functions are examined and their relationships established.
Length: 44 minutes
• #### Extending the Table of Derivatives

Extending the table of derivatives. In this video the Table of Derivatives continues to be built using rules described in other units.
Length: 22 minutes