Help.. How do you find part C and D? For what values of x in (0,8) is f(x) incre

Question

Help.. How do you find part C and D?

For what values of x in (0,8) is f(x) increasing? (If the function is not increasing anywhere, enter None.) For what values of x in (0,8) is f(x) concave down? (If the function is not concave down anywhere, enter None .) Find all values of x in (0,8) is where f(x) has a local minimum, and list them (separated by commas) in the box below. (If there are no local minima, enter None .) Find all values of x in (0,8) is where f(x) has an inflection point, and list them (separated by commas) in the box below. (If there are no inflection points, enter None .)

Explanation / Answer

For C) there is a local minimum when the derivative changes from - to +. This derivative is always negative(or 0) so there is no local minimum.

For D) f has an inflection point when the derivative changes from increasing to decreasing or from decreasing to increasing. THis occurs when x=1, 4 and 6

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