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JAMB - Mathematics (2016 - No. 3)

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

Explication

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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