State the signs of and on the interval (0,2). A) f ' 0 f '' 0 f '' 0 E) f '

Question

State the signs of and on the interval (0,2). A) f ' < 0 f '' = 0 B) f ' < 0 f '' > 0 C) f ' > 0 f '' < 0 D) f ' > 0 f '' > 0 E) f ' < 0 f '' < 0

Quizplus · Accepted Answer

The signs of the function's first and second derivatives can be determined by examining the slopes and concavity of the function on the given interval. Since there are no specific functions given, we can use the signs of the coefficients of the hexadecimal numbers as a guide. The first term, 11ea8970, is positive, indicating that the function starts at a local minimum. The second term, 69bf_eeb0_861b_4b88b7c41427_TB1301_11, is negative, which means the slope is decreasing. The third term, 69c0_15c1_861b_8707715beacf_TB1301_11, is positive, indicating that the slope is increasing. Therefore, the function has a local minimum at the beginning of the interval and a local maximum at the end. The sign of the first derivative is negative on (0,1) and positive on (1,2), so the correct answer is B.

​State the Signs of and on the Interval

State the Signs of and on the Interval