<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">\documentclass[a4paper,12pt]{article}
\newcommand\ds{\displaystyle}
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QUESTION

Differentiate the function $\sin^{-1}(3x)$ with respect to $x$.

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ANSWER

$\ds\frac{d}{dx}(\sin^{-1}(3x))=\frac{1}{\sqrt{1-(3x)^2}}.3=\frac{3}{\sqrt{1-9x^2}}$


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