# Core 3 Spec

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