Mathematics: Units 3C and 3D

Formula sheet

Number and algebra: Calculus

Differentiation

Function notation	Leibniz Notation
Product rule
Quotient rule
Chain rule

Integration

Fundamental Theorem of Calculus:	and

Incremental formula:

Space and measurement: Measurement

Trapezium:	Area = height, where a and b are the lengths of the parallel sides

Prism:	Volume = Area of base height

Cylinder:	Total surface area =	Volume =

Pyramid:	Volume = area of base height

Cone:	Total surface area = , s is the slant height	Volume =

Sphere:	Total surface area =	Volume =

Volume of solids of revolution about the axes: and

Space and measurement: Rate

Chance and data: Quantify chance

Probability Laws

Binomial distributions:	Mean: and standard deviation:

Chance and data: Represent data

Central Limit Theorem:

Mean of the sample means,, equals the population mean,

Standard deviation of the sample means equals

where is the population standard deviation.

Chance and data: Interpret data

Infer the mean of a population from a sample using

where z is the standard score for a confidence interval.

Note:	Any additional formulas identified by the examination panel will be included in the body of the particular question.