Because the derivative of a function represents both the slope of the tangent to the curve and the instantaneous rate of change of the function, it is possible to use information about one to gain information about the other. In this problem, use the graph of the function given in the figure.
At what point(s) A through E is the rate of change of f (x) equal to zero?

A)A C E
B)B E
C)B D
D)B C
E)A B C

Question

Because the derivative of a function represents both the slope of the tangent to the curve and the instantaneous rate of change of the function, it is possible to use information about one to gain information about the other. In this problem, use the graph of the function  given in the figure. ​  ​
At what point(s) A through E is the rate of change of f (x) equal to zero?
​
A)A C E 
B)B E 
C)B D 
D)B C 
E)A B C

Quizplus · Accepted Answer

The Answer of Because the derivative of a function represents both the slope of the tangent to the curve and the instantaneous rate of change of the function, it is possible to use information about one to gain information about the other. In this problem, use the graph of the function  given in the figure. ​  ​
At what point(s) A through E is the rate of change of f (x) equal to zero?
​
A)A C E 
B)B E 
C)B D 
D)B C 
E)A B C

Because the Derivative of a Function Represents Both the Slope