Question: Find f  ′ (s), if f (s) = 48s+4- 8s48s-4- 8s.


A ) 48s+4- 8s
B ) (ln 4)(48s+4- 8s)2
C ) (- 32ln 4)(48s-4- 8s)-2
D ) (- 32ln 4)(48s-4- 8s)-2
E ) (48s-4- 8s)2

Steps to derive

1 f (s) = 48s+4- 8s48s-4- 8s
 [Write the function.]

2 f  ′ (s) = dds (48s+4- 8s48s-4- 8s)
 [Find f  ′ (s)]

3 = - 32ln 4(48s-4- 8s)2
 [Use the Quotient Rule, the Chain Rule and simplify.]

4 f  ′ (s) = - 32ln 4(48s-4- 8s)2



Hence the right answer is Option D

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