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Find the derivative of y = ( \(\frac{1}{3}\)X + 6)\(^2\)

Find the derivative of y = ( \(\frac{1}{3}\)X + 6)\(^2\)
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  • 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
Correct Answer: Option B
Explanation:
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)

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