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.

Question

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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