C2 Differentiation (optimisation/shapes)

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  1. Kravez's Avatar
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    C2 Differentiation (optimisation/shapes)
    For the shapes (optimisation) problems which formulas do you need to know? i.e which shape formulas?

    Do not tell me to look at the specification or the official book. I wouldn't be posting here if they were in either of them.

    Board: Edexcel
    Last edited by Kravez; 11-05-2012 at 15:36.
  2. ttoby's Avatar
    • Vengeful, Imperial Overlord of The Student Room
    • Posts: 3,808
    Re: C2 Differentiation (optimisation/shapes)
    Which board is this for? My first thought would be to look in the specification too, so if you haven't found it there then there's not a lot I can suggest. Another option is to take every formula that's come up at least once on a past paper or in a textbook question and treat it as examinable, although that's not the perfect solution.

    I know I've always found the volume/surface area of a sphere hard to remember as they're not that obvious, so you can use this rule to help remember them:

    To get from area of a circle to circumference, differentiate with respect to r.
    To get from volume of a sphere to surface area, differentiate with respect to r.

    But note that in general this doesn't work with other shapes.
  3. gdunne42's Avatar
    • Vengeful, Imperial Overlord of The Student Room
    • Location: Buckinghamshire
    • Posts: 4,031
    Re: C2 Differentiation (optimisation/shapes)
    perimeters & areas of: rectangles, squares, triangles, circles and compound shapes of any of them
    surface areas and volumes of: cuboids, cylinders and prisms.
    It's a test of your calculus skills not your shape skills.
    Last edited by gdunne42; 11-05-2012 at 07:46.
  4. Kravez's Avatar
    • Banned
    • Posts: 382
    Re: C2 Differentiation (optimisation/shapes)
    (Original post by ttoby)
    Which board is this for? My first thought would be to look in the specification too, so if you haven't found it there then there's not a lot I can suggest. Another option is to take every formula that's come up at least once on a past paper or in a textbook question and treat it as examinable, although that's not the perfect solution.

    I know I've always found the volume/surface area of a sphere hard to remember as they're not that obvious, so you can use this rule to help remember them:

    To get from area of a circle to circumference, differentiate with respect to r.
    To get from volume of a sphere to surface area, differentiate with respect to r.

    But note that in general this doesn't work with other shapes.
    Board is Edexcel
  5. Holy Cherrys's Avatar
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    • Location: London
    • Posts: 923
    Re: C2 Differentiation (optimisation/shapes)
    Circles and all the other shapes.

    But in the MEI board, most of the questions on these come with the formulas like volume/surface area of a cone or something.
  6. ttoby's Avatar
    • Vengeful, Imperial Overlord of The Student Room
    • Posts: 3,808
    Re: C2 Differentiation (optimisation/shapes)
    (Original post by Kravez)
    Board is Edexcel
    I had a look at their C2 papers for the past few years. You'll need these:

    Area of sector
    Area of a circle
    Volume of cuboid
    Surface area of a cuboid
    Area of triangle (0.5*base*height and 0.5absinC)
    Length of arc
    Volume/surface area of a prism/cylinder
    Sine rule
    Cosine rule
    SOHCAHTOA
    Pythagorus
  7. Kravez's Avatar
    • Banned
    • Posts: 382
    Re: C2 Differentiation (optimisation/shapes)
    (Original post by ttoby)
    I had a look at their C2 papers for the past few years. You'll need these:

    Area of sector
    Area of a circle
    Volume of cuboid
    Surface area of a cuboid
    Area of triangle (0.5*base*height and 0.5absinC)
    Length of arc
    Volume/surface area of a prism/cylinder
    Sine rule
    Cosine rule
    SOHCAHTOA
    Pythagorus
    Thanks.
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