The image above represents the derivative $f'(x)$ based on the given graph of $f(x)$. It highlights the key points where the slopes change and matches the increasing and decreasing sections of the original function $f(x)$.

Would you like further details or have any questions on the solution?

Here are 5 related questions to extend your understanding:

1. How does the derivative behave at sharp corners or cusps in a graph?
2. What is the relationship between a positive slope in $f(x)$ and the value of $f'(x)$?
3. Can you identify which sections of $f(x)$ correspond to zero slope (horizontal tangent)?
4. How do changes in concavity of $f(x)$ affect the second derivative, $f''(x)$?
5. How does the graph of $f'(x)$ change when $f(x)$ has a parabolic shape?

Tip: The derivative $f'(x)$ is always positive where the original function $f(x)$ is increasing and negative where $f(x)$ is decreasing.