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) = -x² In (3x) If there is more than one local maximum or local minimum, write each value of a separated by a comma. If a local maximum or local minimum does not occur on the interval, enter Ø in the appropriate box. Enter exact answers. Provide your answer below:

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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) = −x² ln (3x)
If there is more than one local maximum or local minimum, write each value of a 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.
Provide your answer below:
Transcribed Image Text: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) = −x² ln (3x) If there is more than one local maximum or local minimum, write each value of a 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. Provide your answer below:
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