#### Answer

$\frac{dy}{dx} = 12x^{3}$

#### Work Step by Step

$\frac{dy}{dx} = \frac{dy}{du}*\frac{du}{dx}$
Now,
$\frac{dy}{du} = \frac{d(6u-9)}{du} = 6$
And,
$\frac{du}{dx} = \frac{d (\frac{1}{2})x^{4}}{dx} = 2x^{3}$
Now,
$\frac{dy}{dx} = 12x^{3}$

Published by
Pearson

ISBN 10:
0321999584

ISBN 13:
978-0-32199-958-0

$\frac{dy}{dx} = 12x^{3}$

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