g(x) = x(x-4)^(1/3)
a)find the intervals of inc an dec of g and find all local extrema
b)find the intervals of concavity of g and all the inflection points
c)use the information in parts (a) and (b) to sketch a graph of g.
I can find g'(x) and g"(x). What I'm having trouble with is determining critical points and inflection points.
I get g'(x) = (x-4)^(1/3) + x/[3(x-4)^(2/3)]
So critical point at x = 3, and x = 4? I can use this to find increasing and decreasing information but that's where I get stuck....
Any help is appreciated! Thanks.
a)find the intervals of inc an dec of g and find all local extrema
b)find the intervals of concavity of g and all the inflection points
c)use the information in parts (a) and (b) to sketch a graph of g.
I can find g'(x) and g"(x). What I'm having trouble with is determining critical points and inflection points.
I get g'(x) = (x-4)^(1/3) + x/[3(x-4)^(2/3)]
So critical point at x = 3, and x = 4? I can use this to find increasing and decreasing information but that's where I get stuck....
Any help is appreciated! Thanks.