for the function f(x) whose graph is below, find the x - values for which f(x) is not differentiable…
for the function f(x) whose graph is below, find the x - values for which f(x) is not differentiable. separate multiple answers with a comma.
Answer
Explanation:
Step1: Recall non - differentiability conditions
A function is not differentiable at points of sharp corners, vertical tangents, and discontinuities.
Step2: Identify sharp corner
At $x=-4$, the graph has a sharp corner, so the function is not differentiable here.
Step3: Identify discontinuities
The function has a jump - discontinuity at $x = 2$ and a removable discontinuity at $x=-2$. At these points, the function is not differentiable.
Answer:
$-4,-2,2$