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

Question

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

Quizplus · Accepted Answer

At point B, the tangent line has a steeper slope than at point E. This means that the instantaneous rate of change (i.e. the derivative) at point B is greater than at point E. Therefore, the function value at point B is greater than at point E.

In the Figure Given in This Problem, at Points B