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Section 4.3 - How Derivatives Affect the Shape of the Graph




Section Details:
  • Using the first derivative to determine where a function is increasing and decreasing
  • Using the First Derivative Test to find the local maximums and local minimums of a function
  • Using the second derivative to determine where a function is concave upward and concave downward and to find all inflection points
  • Using the Second Derivative Test to find the local maximums and local minimums of a function

Studying the Shape of Curves: MATH 171 Problems 1-3

What the derivatives of a function tell us about the shape of its graph

Studying the Shape of Curves: MATH 151 Problems 2-7

Using derivatives to find properties of graphs