MTH251 Calculus 1 Fall 2018 > Chapter 3: Derivatives> Section 3.1 Defining the Derivative

Section 3.1 Defining the Derivative

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Section 3.1 Defining the Derivative

Text for Section 3.1 Defining the Derivative

Learning Objectives

  • Recognize the meaning of the tangent to a curve at a point.
  • Calculate the slope of a tangent line.
  • Identify the derivative as the limit of a difference quotient.
  • Calculate the derivative of a given function at a point.
  • Describe the velocity as a rate of change.
  • Explain the difference between average velocity and instantaneous velocity.
  • Estimate the derivative from a table of values.
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