Covered across all four courses, differentiation rules are developed progressively depending on the course. All students begin with the power rule and interpret increasing and decreasing functions using the sign of f'(x). In AA SL, AA HL and AI HL, students extend to the chain rule, product rule and quotient rule, differentiating trigonometric, exponential and logarithmic functions. AA HL adds derivatives of inverse and reciprocal trigonometric functions and introduces higher derivatives. For AI SL, only the basic power rule and differentiation of simple polynomial functions is required.
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Video lessons
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