list the points in the graph in the interval - 3 < x < 6 at which the function is not differentiable. the…
list the points in the graph in the interval - 3 < x < 6 at which the function is not differentiable. the function is not differentiable at x = . (use a comma to separate answers as needed.)
Answer
Explanation:
Step1: Recall non - differentiability conditions
A function is not differentiable at a point if there is a corner, cusp, vertical tangent, or discontinuity at that point.
Step2: Analyze the graph
Looking at the graph in the interval $- 3<x<6$, we check for such features. There is a corner at $x = 4$ where the slope changes abruptly.
Answer:
4