please try to solve these questions.
Question # 1
The derivative of the continuous function is given. Find all critical points and determines whether a relative maximum, relative minimum or neither occurs there
The critical points are solutions of:
which occur either when or , the roots of these are:
for the first and and for the second.
Now these correspond to local maxima when , minima when and (stationary) points of inflection when .
So the first of the roots gives , the second and the third
RonL
Hello, m777!
1) The derivative of a continuous function is given.
Find all critical points and determine if a rel.max., rel.min. or neither occurs there.
Solve
. .
We have two equations to solve:
. .
. .
Second derivative: .
. . is concave up:
. . is concave down: