Differentiation + applications - first principles, average rate of change versus instantaneous rate of change at a point, connecting differentiability and continuity, basic rule plus chain rule (power, exponential, ln and trig) combined with product and quotient rule, implicit differentiation, related rates, stationary points (max and min), optimisation, increasing/decreasing, points of inflection, concavity, analysing derivate graphs and Mean Value Theorem. Continuity - defining continuity, confirming continuity, ensuring continuity, connecting limits, types of discontinuities and intermediate value theorem.
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