Solving for a Zero Derivative

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Let $f$ be the function defined by $f(x)=(4x+9)^{3/2}$ . For what value of $x$ is the derivative of $f$ , denoted $f'(x)$ , equal to zero?

$x=\frac{3}{2}$

$x=\frac{9}{4}$

$x=-\frac{9}{4}$

$x=-\frac{3}{2}$

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