Consider this graph.
Using the graph and the intervals noted, explain how the first derivative of the depicted function indicates whether the function is increasing or decreasing.
◦ The first derivative is negative on the intervals (a, b) and (c, d), which indicates that the function is increasing on these intervals. The first derivative is positive on the intervals (b, c) and (d, e), which indicates that the function is decreasing on these intervals.
◦ The first derivative is negative on the intervals (a, b) and (c, d), which indicates that the function is decreasing on these intervals. The first derivative is positive on the intervals (b, c) and (d, e), which indicates that the function is increasing on these intervals.
◦ The first derivative is positive on the intervals (a, b) and (c, d), which indicates that the function is increasing on these intervals. The first derivative is negative on the intervals (b, c) and (d, e), which indicates that the function is decreasing on these intervals.
◦ The first derivative is positive on the intervals (a, b) and (c, d), which indicates that the function is decreasing on these intervals. The first derivative is negative on the intervals (b, c) and (d, e), which indicates that the function is increasing on these intervals.
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Finding the derivative using the power rule - Solutions
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