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Practical maximum and minimum problems

Finding the square rootS of complex numbers.

Stationary points

Second derivative

Rates of change

Tangents and normals

Differentiating using the quotient rule

Deriving the quotient rule

Differentiating using the product rule

Deriving the product rule from first principles

The chain rule

The power rule

First principles of calculus

Differentiating using first principles

Transformations of trigonometric graphs

Graphs of trigonometric functions

The general definition of an angle

Angles between 0 and 90 degrees

Finding relationships from data

Converting from linear to a non-linear equation

Converting from a non-linear equation to linear form

Equations of straight lines

Parallel and perpendicular lines

Problems involving length of a line and midpoint

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