Find the undefined points given this graph

Thread starter angela107
Start date May 28, 2020
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Graph Points

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The discussion centers on identifying points where the derivative of a given graph is undefined. It clarifies that the points in question are not all correct, specifically stating that at x = -4, the derivative exists due to a horizontal tangent line. In contrast, at x = -2, 0, and 4, the derivatives do not exist. This indicates that only the latter three points are where the derivative is undefined. Understanding these critical points is essential for analyzing the graph's behavior.

May 28, 2020

angela107

Homework Statement: Given the following graph, what are the points where the derivative of ##y=f(x)## is undefined?

Relevant Equations: n/a

Screen Shot 2020-05-28 at 12.47.36 PM.png

are the points where the derivative is undefined ##x=-4,-2,0, 4##?

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May 28, 2020

member 587159

No. The derivative in ##-4## exists: there is a horizontal tangent line. In ##-2##, ##0## and ##4## the derivatives don't exist.

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