Final answer to the problem
$\frac{-4}{\sqrt{1-\left(-4x\right)^2}}$
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1
Apply the formula: $\frac{d}{dx}\left(\arcsin\left(\theta \right)\right)$$=\frac{1}{\sqrt{1-\theta ^2}}\frac{d}{dx}\left(\theta \right)$, where $x=-4x$
$\frac{1}{\sqrt{1-\left(-4x\right)^2}}\frac{d}{dx}\left(-4x\right)$
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$\frac{1}{\sqrt{1-\left(-4x\right)^2}}\frac{d}{dx}\left(-4x\right)$
Learn how to solve problems step by step online. d/dx(arcsin(-4x)). Apply the formula: \frac{d}{dx}\left(\arcsin\left(\theta \right)\right)=\frac{1}{\sqrt{1-\theta ^2}}\frac{d}{dx}\left(\theta \right), where x=-4x. Apply the formula: \frac{d}{dx}\left(nx\right)=n\frac{d}{dx}\left(x\right), where n=-4. Apply the formula: \frac{d}{dx}\left(x\right)=1. Apply the formula: a\frac{b}{x}=\frac{ab}{x}.
Final answer to the problem
$\frac{-4}{\sqrt{1-\left(-4x\right)^2}}$
