{
    "quiz": {
        "name": "11_6 Parametric Differentiation",
        "intro": "Sometimes the equation of a curve is not be given in Cartesian form \\(y = f(x)\\) but in parametric form:\n\\(x = h(t)\\), \\(y = g(t)\\). In this Section we see how to calculate the derivative \\( \\dfrac{dy}{dx}\\) from a knowledge of the so-called parametric derivatives \\( \\dfrac{dx}{dt}\\) and\\( \\dfrac{dy}{dt} \\). We then extend this to the determination of the second derivative \\( \\dfrac{d^2y}{dx^2}\\).\n<p><\/p>\nParametric functions arise often in particle dynamics in which the parameter \\(t\\) represents the time\nand \\((x(t), y(t))\\) then represents the position of a particle as it varies with time.",
        "introformat": "1",
        "questionsperpage": "1",
        "grade": "10.00000",
        "navmethod": "free"
    },
    "sections": [
        {
            "firstslot": "1",
            "heading": "First order parametric differentiation",
            "shufflequestions": 0
        },
        {
            "firstslot": "5",
            "heading": "Second order parametric differentiation",
            "shufflequestions": 0
        }
    ],
    "questions": [
        {
            "slot": "1",
            "page": "1",
            "requireprevious": 0,
            "maxmark": "0.0000000",
            "quizfilepath": "\/top\/Default-for-11-6\/11-6-1-1-Parametric-differentiation.xml"
        },
        {
            "slot": "2",
            "page": "1",
            "requireprevious": 0,
            "maxmark": "0.0000000",
            "quizfilepath": "\/top\/Default-for-11-6\/11-6-1-2-example.xml"
        },
        {
            "slot": "3",
            "page": "1",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-11-6\/11-6-1-3-task.xml"
        },
        {
            "slot": "4",
            "page": "1",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-11-6\/11-6-1-4-task.xml"
        },
        {
            "slot": "5",
            "page": "2",
            "requireprevious": 0,
            "maxmark": "0.0000000",
            "quizfilepath": "\/top\/Default-for-11-6\/11-6-2-1-Higher-derivatives.xml"
        },
        {
            "slot": "6",
            "page": "2",
            "requireprevious": 0,
            "maxmark": "0.0000000",
            "quizfilepath": "\/top\/Default-for-11-6\/11-6-2-2-example.xml"
        },
        {
            "slot": "7",
            "page": "2",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-11-6\/11-6-2-3-y-and-y-parametric.xml"
        },
        {
            "slot": "8",
            "page": "2",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-11-6\/11-6-2-4-y-and-y-parametric.xml"
        },
        {
            "slot": "9",
            "page": "2",
            "requireprevious": 0,
            "maxmark": "1.0000000",
            "quizfilepath": "\/top\/Default-for-11-6\/11-6-2-5-y-and-y-parametric.xml"
        }
    ],
    "feedback": [
        {
            "feedbacktext": "",
            "feedbacktextformat": "1",
            "mingrade": "0.00000",
            "maxgrade": "11.00000"
        }
    ]
}