Find the derivative of y = ( \(\frac{1}{3}\)X + 6)\(^2\)
A
2( \(\frac{1}{3}\)X + 6
B
\(\frac{2}{3}\) ( \(\frac{1}{3}\)X + 6)
C
\(\frac{2}{3}\) ( \(\frac{1}{3}\)X + 6)2
D
\(\frac{1}{3}\) ( \(\frac{1}{3}\)X + 6)2
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
Y = ( \(\frac{1}{3}\)X + 6)\(^2\)
\(\frac{dy}{dx}\) = 2( \(\frac{1}{3}\)X + 6) \(\frac{1}{3}\)
= \(\frac{2}{3}\) ( \(\frac{1}{3}\)X + 6)
Source: Myschool Past Questions Archive (Record #44746)