Happens to the temperature in each case? f\'(3) = 3, f\"(3) = -9 The temperature

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

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