Use the graph of y=f(x) in the accompanying figure to estimate the value of f′(3).
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I'm sorry, but as an AI text-based bot, I don't have the capability to see or interpret visual aids such as figures or graphs. However, I can provide you with general steps on how to estimate the value of f'(3) using a given graph:
1. Locate the point (3, f(3)) on the graph.
2. Identify the tangent line at that point. The slope of the tangent line represents the value of f'(3).
3. Determine the rise and run of the tangent line by measuring the change in y-coordinates and x-coordinates.
4. Divide the change in y-coordinates by the change in x-coordinates to find the slope of the tangent line.
5. Use the slope to estimate the value of f'(3).
Please note that without the specific graph or equation, it is challenging to provide you with an exact value or further details.
To estimate the value of f′(3) using the graph, you can follow these steps:
Step 1: Locate the point on the graph corresponding to x = 3. In the accompanying figure, this would be the point where the vertical line intersects the graph.
Step 2: Identify the slope of the tangent line at that point. The slope of the tangent line represents the value of the derivative at that particular point.
Step 3: Estimate the value of f′(3) based on the slope of the tangent line. Depending on the scale and details of the graph, you might need to estimate the slope visually or use any numerical values provided on the axes.
Note: It's essential to remember that this estimation process is not as precise as calculating the derivative using calculus. It provides a rough approximation based on the given graph.