Q BankQuestion BankDocsDocuments

FUN-4.A—Justify conclusions about the behavior of a function based on the behavior of its derivatives—Topic 5.6

Syllabus
2020
Objective
Level

FUN-4.A—Justify conclusions about the behavior of a function based on the behavior of its derivatives—Topic 5.6

  • FUN-4.A Justify conclusions about the behavior of a function based on the behavior of its derivatives.
  • FUN-4.A.4 The graph of a function is concave up (down) on an open interval if the function’s derivative is increasing (decreasing) on that interval.
  • FUN-4.A.5 The second derivative of a function provides information about the function and its graph, including intervals of upward or downward concavity.
  • FUN-4.A.6 The second derivative of a function may be used to locate points of inflection for the graph of the original function.
  • Enduring understanding FUN-4: A function’s derivative can be used to understand some behaviors of the function.
ConceptAP Calculus AB