# Core 3 Spec

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- Created by: james
- Created on: 20-01-14 20:27

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- C3
- Algebra and functions
- Understand function, domain, range, one-one, inverse and composition
- Identify range of a given function and composition of two functions
- Illustrate relation between one-one and inverse
- Use and recognise compositions of transformations of graphs
- Understand meaning of |x| and solve equations and inequalities
- Understand the relation between y=|f(x)| and y=f(x)
- Understand properties of exponential and log functions e^x and ln x
- Understand exponential growth and decay

- Triganometry
- Use inverse sin, cos, tan to denote principal values of inverse
- Understand the relationship of sec, cosec, cot and use any graphs for any angles
- Use trig identities

- Differentiation
- Use derivative of e^x and ln x together with constants, sums, differences
- Differentiate composite functions using chain rule
- Differentiate products and quotients
- Understand the relation dy/dx= 1 /dx/dy
- Apply to connected rates of change

- Integration
- Integrate e^x and 1/x constants, sums and differences
- Integrate expressions involving linear substitution
- Use definite integrals to find a volume of revolution about one of the coordinate axis

- Algebra and functions

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