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) = cos x ? 6x, [0, 4?]
relative minimum (x,y)=
relative maximum (x,y)=
f(x) = cos x ? 6x, [0, 4?]
relative minimum (x,y)=
relative maximum (x,y)=
Solution
relative minima/maxima exists at those points where df(x)/dx=0 df(x)/dx=-sinx-6=0 so sinx=-6 as sinx has maximum value 1 this equation has no solution so there is no relative maxima/minima relative minimum=DNE relative maximum=DNE![Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not exist, enter DNE.) f(x) = cos x ? 6x, [0, 4?] relative minimu Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not exist, enter DNE.) f(x) = cos x ? 6x, [0, 4?] relative minimu](/WebImages/27/find-all-relative-extrema-use-the-second-derivative-test-whe-1073034-1761562372-0.webp)