Compute f '(2) for the function .
A) 58
B) 43
C) 38
D) -43

Question

Compute f '(2) for the function  .
A) 58 
B) 43 
C) 38 
D) -43

Quizplus · Accepted Answer

Starting with F10(2), we substitute 2 into the function, giving us:
11eaa88b_9245_584f_a696_573206a9cd6a_TB5869_00(2) = 2 + 5 - 1 = 6
Next, we apply F1F1F10(2) by repeatedly applying S1 to 6, then applying F1 three times, and then applying S1' once. One application of S1 leaves us with 5, so we need to apply it again 5 times to get to 0. Then, we apply F1 three times to get F1F1F10S1(2) = F3S1(2) = 2 + 2 + 1 = 5. Finally, we apply S1' to get F1F1F10S1'(2) = S1(5) = 4. 
Therefore, fF1F1F1S1F1F1F10(2) = f42406 = 6 - 2 + 0 - 4 + 2 + 4 = 6. 
The only choice that gives this answer is B.

Compute F '(2) for the Function