Answer the following questions about the function whose derivative is given below.

f'(x)=(sinx-1) (2 cosx+1) , 0x2

a. What are the critical points of f?

b. On what open intervals is f increasing or decreasing?

c. At what points, if any, does f assume local maximum and minimum values?

a. What are the critical points of f?

x= _____

(Use a comma to separate answers as needed.)

b. On what open intervals is f increasing or decreasing?

(Use a comma to separate answers as needed.)

1. The function f is increasing on the open interval(s)

_______,

and never decreasing.

2. The function f is increasing on the open interval(s)

________

and decreasing on the open interval(s)

________

3.

The function f is decreasing on the open interval(s)

________

and never increasing.

c. At what points, if any, does f assume local maximum values?

(Use a comma to separate answers as needed.)

1.

The function f has a local maximum at

x=_______

2.

There is no local maxima.

At what points, if any, does f assume local minimum values?

(Use a comma to separate answers as needed.)

1

The function f has a local minimum at

x=_______

2.

There is no local minima.