Introduction to Derivatives

  Learning Outcome/Performance Criteria:
  1. Understand the derivative of a function at a point, and the derivative function.

    1. Find the derivative of a function at a point, using the limit definition.

    2. Find the equation of a tangent line to a curve at a point on the curve,using the limit definition.

    3. Determine the derivative of a function at a point from the graph of the function; compare the derivatives at two points, from the graph.

    4. Find the derivative of a function, using the limit definition.

    5. Match the graph of a function with the graph of its derivative; given the graph of a function, sketch the graph of its derivative.

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