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CalculusQ&A LibraryIn 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.Start your trial now! First week only $4.99!*arrow_forward*

Question

In a psychology experiment, a person could memorize *x* words in f(x) = 3x^{2} − x seconds (for 0 ≤ x ≤ 10).

(a) Find

(b) Find
Interpret it as an instantaneous rate of change in the proper units.

f '(x)

by using the definition of the derivative.(b) Find

f '(8).

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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