Given the graph of f, find any values of x at which f ' is not defined.
-
A) x = 0, 3
B) x = 3
C) x = 0
D) Defined for all values of x

Question

Given the graph of f, find any values of x at which f ' is not defined.
-
A) x = 0, 3 
B) x = 3 
C) x = 0 
D) Defined for all values of x

Quizplus · Accepted Answer

The derivative of a function is not defined at any point where the function is not continuous, has a sharp corner or has a vertical tangent. 
In the given graph, we can see that there are sharp corners at x=0 and x=3. Therefore, the derivative of the function f is not defined at x=0 and x=3. The correct answer is A) x = 0, 3.

Given the Graph of F, Find Any Values of X