The problem is presented as follows:**Task:**b) Using the given graph of \( f(x) \), check the box next to the best choice for the graph of the derivative, \( f'(x) \).Two graphs are provided:1. **Left Graph:** - This graph appears to be a cubic function. The curve crosses the x-axis around \( x = 1 \) and has a local minimum around \( x = 2 \) and a local maximum around \( x = 4 \). - The y-axis ranges from -4 to 8, and the x-axis ranges from -1 to 5.2. **Right Graph:** - This graph resembles a parabola opening upwards, indicating a quadratic function. - The vertex is around \( x = 2 \). - The y-axis ranges from 0 to 8, and the x-axis ranges from -1 to 5.**Instruction:**Explain your choice. (A space is provided for the explanation.)**Explanation Suggestion:**To find \( f'(x) \), look for zero slopes in \( f(x) \) (where it reaches a peak or valley) and match these to zero points in the derivative graph. Identify where \( f(x) \) is increasing (positive slope) or decreasing (negative slope) to match positive or negative values on \( f'(x) \).

Name: The problem is presented as follows:**Task:**b) Using the given graph
Uploaded: 2024-03-20T06:47:22.000Z
Channel: Bartleby
Description: The problem is presented as follows:**Task:**b) Using the given graph of \( f(x) \), check the box next to the best choice for the graph of the derivative, \( f'(x) \).Two graphs are provided:1. **Left Graph:** - This graph appears to be a cubic f