In the figure given in this problem, at points A and E draw an approximate tangent line and then use it to answer the following question. Is greater at point A or at point E?

Question

In the figure given in this problem, at points A and E draw an approximate tangent line and then use it to answer the following question. Is  greater at point A or at point E? ​  ​

Quizplus · Accepted Answer

At point E, the tangent line is steeper than at point A. This means that the slope of the curve (which represents the rate of change of the function) is larger at point E than at point A. Therefore, 11ea984b_ac77_e892_9029_a3b9703b0f49_TB4005_11 is greater at point E than at point A.

In the Figure Given in This Problem, at Points a and E