Find all relative extrema Use the Second Derivative Test whe

Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not exist, enter DNE.)
f (x) = x^(8/9) ? 5
relative minimum=
relative maximum=

Solution

f\' = 3x^2 - 18x f\' = 0 (8/9)x^(-1/9) = 0 x = 0 f\'\' = (-8/81) x^(-10/9) f\'\' at x = 0 is 0, so no maxima or minima
Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not exist, enter DNE.) f (x) = x^(8/9) ? 5 relative minimum= rela

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