In a psychology experiment, a person could memorize x words in  f(x) = 3x2 − x  seconds (for 0 ≤ x ≤ 10). (a) Find  f '(x) by using the definition of the derivative.(b) Find  f '(8).   Interpret it as an instantaneous rate of change in the proper units. 0   When 8 words have been memorized, the memorization time is increasing at a rate of 8 words per second. 0 When f '(8) words have been memorized, the memorization time is increasing at a rate of 8 words per second.     0  When f '(8) words have been memorized, the memorization time is increasing at a rate of 8 seconds per word. 0  When 8 words have been memorized, the memorization time is increasing at a rate of f '(8) seconds per word. 0  When 8 words have been memorized, the memorization time is increasing at a rate of f '(8) words per second.

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A:

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A: We will use the power rule:

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A: Explanation of the solution is given below...

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A:

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A:

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A:

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A:

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A:

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A: Since you have asked multiple questions in single request.so we will answering only first question.

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A:

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A:

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A:

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Q: 4. f(x)=

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A:

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A:

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A: According to the problem we have

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A:

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A: