Question on: JAMB Mathematics - 2016

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

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
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Correct Option: B

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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