Short Answer

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.

The f has local maximum at point $(0 \cdot 5, - 0 \cdot 5)$ and local minimum at point $(1 \cdot 5, - 3 \cdot 5)$ .

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given information .

Consider the given graph .

Step 2. Classifying local 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 $(0 \cdot 5, - 0 \cdot 5)$ that is the local maximum point of the graph and point $(1 \cdot 5, - 3 \cdot 5)$ is the local minimum point of the graph .

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Calculus

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Short Answer

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

Step 1. Given information .

Step 2. Classifying local maximum and minimum value .

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Calculus

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Short Answer

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

Step 1. Given information .

Step 2. Classifying local maximum and minimum value .

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