The temperature in an industrial pasteurization tank is f(x)

Last updated: 7/18/2022

The temperature in an industrial pasteurization tank is f(x) = x2 - 9x + 119 degrees centigrade after x minutes (for 0 ≤ x ≤ 13). (a) Find f'(x) by using the definition of the derivative. f'(x) = (b) Use your answer to part (a) to find the instantaneous rate of change of the temperature after 2 minutes. Be sure to interpret the sign of your answer. The temperature is ---Select--- at a rate of degrees per minute after 2 minutes. (c) Use your answer to part (a) to find the instantaneous rate of change after 6 minutes. The temperature is ---Select--- at a rate of degrees per minute after 6 minutes.