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  • Perplex
    IB Math AIHL
    /
    Differentiation
    /

    Related Rates

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    Exercises

    Key Skills

    Related Rates

    Related Rates

    Types of related rates, implicit differentiation

    Want a deeper conceptual understanding? Try our interactive lesson! (Plus Only)

    Exercises

    No exercises available for this concept.

    Practice exam-style related rates problems

    Key Skills

    Related Rates
    AHL AI 5.9

    Given three variables ​x, ​y, and ​z,

    ​
    dzdy​=dzdx​⋅dxdy​.
    ​


    Hence, given ​dzdx​,​ we can find an expression for ​dzdy​​ by calculating ​dxdy​.

    Volume related rates
    AHL AI 5.9

    Given the time rate of change of radius, length, height, or width of a three dimensional object, you may find the time rate of change of volume by taking the derivative of the volume equation.