Which of the following is true?

A

f(x) is decreasing on (—1, 1) and has a local minimum at x = 1

B

f(x) is increasing on (-1, 1) and has a local maximum at x = 1

C

f(x) is increasing on (—1, 1) but has neither a local maximum nor a local minimum at x = 1

D

f(x) is decreasing on (-1, 1) but has neither a local maximum nor a local minimum at x = 1