Curve Sketching

This mix is about using differential calculus to sketch curves of polynomials.

differential calculusstationary pointsmath
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Curve Sketching

Created 3 years ago

Duration 0:11:19
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This mix is about using differential calculus to sketch curves of polynomials.
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Slide Content
  1. Curve Sketching

    Slide 1 - Curve Sketching

  2. The graph of a polynomial function can be sketched using:

    Slide 2 - The graph of a polynomial function can be sketched using:

    • the basic shape (where possible)
    • axes intercepts
    • stationary points
  3. Stationary Points

    Slide 3 - Stationary Points

    • Local Maximum
    • Local Minimum
    • Positive point of inflection
    • Negative point of inflection
  4. The nature of stationary points can be identified using a gradient table:

    Slide 5 - The nature of stationary points can be identified using a gradient table:

    • x
    • 2
    • 4
    • dy/dx
    • 0
    • 0
    • Shape
    • ----
    • ----
  5. The nature of stationary points can be identified using a gradient table:

    Slide 6 - The nature of stationary points can be identified using a gradient table:

    • x
    • 1
    • 2
    • 3
    • 4
    • 5
    • dy/dx
    • +ve
    • 0
    • -ve
    • 0
    • +ve
    • Shape
    • ----
    • ----
  6. Curve Sketching

    Slide 8 - Curve Sketching