Find the point of local maxima or local minima or local minima and the corresponding local maximum and minimum values of each of the following functions:

Question

Philoid · Accepted Answer

local max. value is 0 at x = −2 and local min. value is −4 at x = 0

f^’(x)=(x-1)2(x+2)+(x+2)²=0

x=0,-2

f^’’(0)>0, 0 is the point of local min.

f^’’(-2)<0, -2 is the point of local max.

f(0)=-4

f(-2)=0