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    All Content - IB Math AASL

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    Differentiation

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    25

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    Lessons & Notes

    Limits and Derivatives

    The concept (and basic properties) of limits and derivatives

    Differentiation rules

    Power rule, chain rule, product rule, quotient rule, derivatives of ex, ax, loga​(x), trigonometric, and inverse trigonometric functions

    Tangents and normals

    Definitions of tangent and normal, finding tangent and normal lines to a function

    Applications of the First Derivative

    Increasing and decreasing intervals, stationary points (maxima and minima), and optimisation

    Second Derivatives and Applications

    Definition of the second derivative, concavity, inflexion points

    n^th Derivative

    Taking the nth derivative, inductive proofs with the nth derivative

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    Practice Tests

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    Limits and Derivatives

    The concept (and basic properties) of limits and derivatives

    Differentiation rules

    Power rule, chain rule, product rule, quotient rule, derivatives of ex, ax, loga​(x), trigonometric, and inverse trigonometric functions

    Tangents and normals

    Definitions of tangent and normal, finding tangent and normal lines to a function

    Applications of the First Derivative

    Increasing and decreasing intervals, stationary points (maxima and minima), and optimisation

    Second Derivatives and Applications

    Definition of the second derivative, concavity, inflexion points

    n^th Derivative

    Taking the nth derivative, inductive proofs with the nth derivative