variables \( x \) and \( y \) are related by the equation \[ x=\int_{0}^{y} \frac{1}{\sqrt{1+9 u...

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variables \( x \) and \( y \) are related by the equation
\[
x=\int_{0}^{y} \frac{1}{\sqrt{1+9 u^{2}}} d x \text {, then } \frac{d y}{d x}
\]
(A) \( \frac{1}{\sqrt{1+9 y^{2}}} \)
(B) \( \sqrt{1+9 y^{2}} \)
(C) \( 1+9 y^{2} \)
(D) \( \frac{1}{1+9 y^{2}} \)
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