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Section 2.2 Interpretations of the Derivative

Two key interpretations of the derivative are as instanenous rates of change and as the slopes of tangent lines. I introduced our subject to these two interpretations way back in my Introduction to Limits 1 - before we even had formal notation for them! Section 2.2 of APEX Calculus
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opentext.uleth.ca/apex-calculus/apex-calculus.html
shows how to make these precise now that we know about limits and derivatives.

Module Learning Objectives.

  1. Write out the equation of a line in general
  2. Write out the equation of a tangent line