Homework SourseFind 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^3 ? 9x^2 + 3
relative minimum=
relative maximum=
f(x) = x^3 ? 9x^2 + 3
relative minimum=
relative maximum=
Solution
f\' = 3x^2 - 18x f\' = 0 x^2 - 6x = 0 x(x-6) = 0 x = 0, 6 f\'\' = 6x - 18 f\'\' at x = 0 is -18, so maxima f\'\' at x = 6 is positive, so minima relative minimum= -105 relative maximum= 3
