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Since is the derivative of , the function will be increasing on the intervals where is positive:
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Q. Since is the derivative of , the function will be increasing on the intervals where is positive:
- Understand Relationship and Derivative: Understand the relationship between the function and its derivative . The derivative of a function at a point gives the slope of the tangent to the function at that point. If is the derivative of , then where is positive, the slope of the tangent to is positive, which means is increasing on those intervals.
- Identify Positive Intervals: Identify the intervals where is positive.To determine where is increasing, we need to know the intervals where is positive. This information is typically given in the problem or can be determined from a graph or table of values for . However, since the problem does not provide specific intervals or a graph, we cannot proceed with the calculation.
