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what is the graph when the function is derivite

The image you provided shows a graph of the derivative of a function \( f'(x) \). Here's what it conveys:

1. **Zero Slope at the Point**: The black dot in the center represents a point where the derivative \( f'(x) = 0 \), which means that the function \( f(x) \) has a critical point at this location. This could be a minimum, maximum, or a point of inflection, depending on the behavior of the second derivative.
   
2. **Negative Slope to the Left**: The blue line on the left indicates that the derivative \( f'(x) \) is negative for values of \( x \) less than

What is the graph when the function is derivative?

Learn how to interpret the graph of a derivative function, identifying key points like critical points, positive and negative slopes, and how they reflect changes in the original function. This is ideal for students studying calculus.

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