When f ‘(x) changes from negative to positive, f(x) has a
When the derivative function, f ‘(x), changes from negative to positive, it tells us that the slope of the original function, f(x), is changing from negative to positive
When the derivative function, f ‘(x), changes from negative to positive, it tells us that the slope of the original function, f(x), is changing from negative to positive. This means that the function is transitioning from decreasing to increasing.
In terms of the graph of f(x), it indicates that the slope of the tangent line at that point changes from negative (sloping downwards) to positive (sloping upwards). This implies that the function is curving upward at that specific point.
To summarize, when f ‘(x) changes from negative to positive, f(x) has a turning point or local minimum at that particular point.
More Answers:
Understanding the Alternate Definition of Derivatives: A Different Approach to CalculusUnderstanding the Positive Derivative: Exploring Function Growth and Increased Values
Understanding the Negative Slope of f'(x) and its Impact on the Decreasing Nature of f(x)
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