The temperature in an industrial pasteurization tank is f(x)= x2 − 9x + 111 degrees centigrade after x minutes (for 0 ≤ x ≤ 11). (a) Find f '(x) by using the definition of the derivative._________   b) Use your answer to part(a) to find the instantaneous rate of change of the temperature after 3 minutes. Be sure to interpret the sign of your answer.   The temperature is increasing or decreasing  at a rate of ________degrees per minutes after 3 minutes.   c) Use your anser to part (a) to find the instantanrous rate of change after 8 minutes.   The temperature is increasing or decreasing at a rate of ______ degrees per minute after 8 minutes.

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