a. i get:
local max: 2.5*pi
local min: 1.5*pi
b. global max: 3.5pi
global min: 2pi/3
are a and b right?
c. how to do this?
d. by the fundamental theorem of calculas (for this question) g'(x)=f(x) so i will have to find the antiderivative of g'(x).. but whats the antiderivative of xsinx? i dont know how to get it..
well i just had some help from my friend and he said that i dont even need g(x).
so g'(x) = xsinx.
g'(x) = 0 when x=0,pi, 2pi, 3pi, 4pi
how do i figure out which on is local min/max and global min/max?
i know that when it changes from + to - its local max but what about global max? when would that be?