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  • Perplex
    IB Math AAHL
    /
    Differentiation
    /

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    Differentiation

    Foundations

    Key exercises

    Track what you need to practice to master this unit.

    Speed Run

    Improve speed and accuracy with a timed multiple-choice quiz.

    Exam-Style Problems

    IB: 4

    17 problems

    IB: 5

    31 problems

    IB: 6

    34 problems

    IB: 7

    17 problems

    Max

    4 problems

    All Concepts

    Thumbnail for Limits and Derivatives

    The concept (and basic properties) of limits and derivatives

    Limits and Derivatives
    Thumbnail for Differentiation rules

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

    Differentiation rules
    Thumbnail for Tangents and normals

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

    Tangents and normals
    Thumbnail for Applications of the First Derivative

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

    Applications of the First Derivative
    Thumbnail for Second Derivatives and Applications

    Definition of the second derivative, concavity, inflexion points

    Second Derivatives and Applications
    Thumbnail for n^th Derivative

    Taking the nth derivative, inductive proofs with the nth derivative

    n^th Derivative
    Thumbnail for Related Rates

    Types of related rates, implicit differentiation

    Related Rates
    Thumbnail for L'Hôpital's rule

    A rule for evaluating limits of the form 0/0 or infinity/infinity

    L'Hôpital's rule

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