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Apply the formula: $\frac{d}{dx}\left(\arccos\left(\theta \right)\right)$$=\frac{-1}{\sqrt{1-\theta ^2}}\frac{d}{dx}\left(\theta \right)$, where $x=\sqrt{x}$
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$\frac{-1}{\sqrt{1-\left(\sqrt{x}\right)^2}}\frac{d}{dx}\left(\sqrt{x}\right)$
Learn how to solve problems step by step online. d/dx(arccos(x^(1/2))). Apply the formula: \frac{d}{dx}\left(\arccos\left(\theta \right)\right)=\frac{-1}{\sqrt{1-\theta ^2}}\frac{d}{dx}\left(\theta \right), where x=\sqrt{x}. Apply the formula: \left(x^a\right)^b=x, where a=\frac{1}{2}, b=2, x^a^b=\left(\sqrt{x}\right)^2 and x^a=\sqrt{x}. Apply the formula: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}, where a=\frac{1}{2}. Apply the formula: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, where a=-1, b=\sqrt{1-x}, c=1, a/b=\frac{-1}{\sqrt{1-x}}, f=2, c/f=\frac{1}{2} and a/bc/f=\frac{1}{2}\frac{-1}{\sqrt{1-x}}x^{-\frac{1}{2}}.