Q. 23
Question
For the graph of f in the given figure , approximate all the values x ∈ (0, 4) for which the derivative of f is zero or does not exist. Indicate whether f has a local maximum, minimum, or neither at each of these critical points .
Step-by-Step Solution
Verified Answer
The f has a local maximum at point .
1Step 1. Given information .
Consider the given graph .
2Step 2. Classifying maximum and minimum value .
To classify the maximum and minimum value in the graph of a function if the graph is smooth and unbroken, then somewhere between each root of f the function must turn around, and at that turning point it must have a local extremum with a horizontal tangent line .
In the given graph the turning point is at that is the local maximum point of the graph with roots where .
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