use the Leibniz notation for the derivative: dy/dx=lim_δx→0 δy/δx and the correspondence dy/dx=f′(x) where y=f(x)
examine examples of variable rates of change of non-linear functions
establish the formula 𝑑/𝑑x (𝑥^𝑛) = 𝑛𝑥^(𝑛−1) for non-negative integers 𝑛 expanding (𝑥 + ℎ)^n or by factorising (𝑥 + ℎ)^𝑛 −𝑥^n
calculate derivatives of polynomials and other linear combinations of power functions
