Happens to the temperature in each case? f\'(3) = 3, f\"(3) = -9 The temperature
ID: 3016469 • Letter: H
Question
Happens to the temperature in each case? f'(3) = 3, f"(3) = -9 The temperature is increasing, and the rate of increase is increasing. The temperature is increasing, but the rate of increase is decreasing. The temperature is decreasing, but the rate of change is increasing (becoming less negative). The temperature is decreasing, and the rate of change is decreasing (becoming more negative). f'(3) = 3, f"(3) = -9 The temperature is increasing, and the rate of increase is increasing. The temperature is increasing, but the rate of increase is decreasing. The temperature is decreasing, but the rate of change is increasing (becoming less negative). The temperature is decreasing, and the rate of change is decreasing (becoming more negative).Explanation / Answer
(a) Given f'(3)=3, f"(3)= -9
we know that when f '(x) is positive then f(x) is increasing
when f "(x) is negative then rate of change is decreasing
so here f'(3)=3 so temperature is increasing, f "(3)= -9 so rate of increasing is decreasing (b) ....ans
(b)Given f'(3)=3, f"(3)= 9
we know that when f '(x) is positive then f(x) is increasing
when f "(x) is positive then rate of change is inreasing
so here f'(3)=3 so temperature is increasing, f "(3)= 9, so rate of increasing is increasing (a) ....ans