**Question:**Given the function \( f(x) \) shown, which is the graph of the derivative \( f'(x) \)?**Description of Graphs:**1. **Top-Left Graph (Function \( f(x) \)):** - The graph is a green curve. - It appears to be an increasing function. - The curve starts below the x-axis on the left, moves upward passing through the origin, and becomes steeper as it moves to the right.2. **Bottom-Left Graph (Option 1):** - The graph is a red parabola opening upwards. - Vertex is at the origin (0,0). - Symmetric with respect to the y-axis.3. **Bottom-Middle Graph (Option 2):** - The graph is a blue curve (not a standard shape, slightly wavy). - The curve increases and then decreases symmetrically about the y-axis.4. **Bottom-Right Graph (Option 3):** - The graph is a purple parabola opening downwards. - Vertex is at the origin (0,0). - Symmetric with respect to the y-axis.5. **Top-Middle Graph (Option 4):** - The graph is a yellow parabola opening downwards. - Vertex is at the origin (0,0). - Symmetric with respect to the y-axis.6. **Top-Right Graph (Option 5):** - The graph is a pink parabola that opens downwards. - It is similar to the yellow parabola.**Objective:**Choose which of the option graphs represents the derivative \( f'(x) \) of the given function \( f(x) \). Analyzing the change of \( f(x) \) can help identify \( f'(x) \). It's expected that the derivative will be positive where the function is increasing, and negative where the function decreases, with notable stationary points.

Name: **Question:**Given the function \( f(x) \) shown, which is the graph
Uploaded: 2024-03-20T06:47:22.000Z
Channel: Bartleby
Description: **Question:**Given the function \( f(x) \) shown, which is the graph of the derivative \( f'(x) \)?**Description of Graphs:**1. **Top-Left Graph (Function \( f(x) \)):** - The graph is a green curve. - It appears to be an increasing function.