Use the first derivative test to find the location of all local extrema in the interval (0, 4) for the function given below. f(x) = -x^7 ln (3x) If there is more than one local maximum or local minimum, write each value of x separated by a comma. If a local maximum or local minimum does not occur on the interval, enter ? in the appropriate box. Enter exact answers.
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We can do this by using the first derivative test. To do this, we need to know the function's derivative at x = 0. We can find this derivative by using the formula: f'(0) = - In (3x) Now, we can use this information to find the local extrema. To do this, we need Show more…
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