Shared across all four courses at SL, limits are introduced informally with students estimating values from tables and graphs and interpreting the derivative as the gradient of a curve approached as a limiting process. In AA HL the treatment becomes formal: continuity and differentiability are defined precisely, the derivative is developed from first principles using the definition f'(x) = lim[f(x+h)-f(x)]/h, higher derivatives are introduced, and L'Hôpital's rule is applied to evaluate limits of indeterminate forms. For AI SL and AA SL the focus remains on intuitive understanding and interpreting the gradient as a rate of change.
Start here
Start by downloading the cheat sheet and the vocabulary below. After that, move to the video lessons with their respective exercise lists.
Video lessons
Learn the content with the videos provided and reinforce your comprehension by practicing with the exercise list above.
Take the mock exams
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