Determine the points of inflection of the function.

Question

Determine the points of inflection of the function.

f(x) = x + sin(x)    (−2π < x < 2π)

(x,y)=( , ) smallest x value

(x,y)=( , )

(x,y)=( , ) largest x value

Answer 1

Hello Ryan,

You need to:

1) Find f ".

2) Set f " = 0 to find possible x-values for points of inflection.

3) Check f ' on each side of each x-value from step 2 to see if f '(x) is changing signs which would be required for a point of inflection.

Now, see if you can work it out.