Consider the equation below.
f(x) = 2(cos(x))2 - 4sin(x)
0 ≤ x ≤ 2
(a) Find the interval on which f is increasing.
(b) Find the local minimum and maximum values of f.
(c) Find the inflection points. (Order your answers from smallest to largest x-value.)
( , ) (smaller x value)
( , ) (larger x value)
Find the interval on which f is concave up.
Find the intervals on which f is concave down.
set f'(x) = 0 to find critical values in the given interval
Originally Posted by sheva2291
find the sign of f'(x) between critical values to whether f(x) is increasing or decreasing
set f''(x) = 0 to find critical values in the given interval
find the sign of f''(x) between critical values to whether f(x) is concave up or down ... inflection points occur where concavity changes.