Solving for a Zero Derivative
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?
A
$$x=\frac{3}{2}$$
B
$$x=\frac{9}{4}$$
C
$$x=-\frac{9}{4}$$
D
$$x=-\frac{3}{2}$$
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