Final answer to the problem
$\frac{8x}{\sqrt{1-16x^{4}}}$
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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 $x=4x^2$
$\frac{1}{\sqrt{1-\left(4x^2\right)^2}}\frac{d}{dx}\left(4x^2\right)$
Learn how to solve calcul différentiel problems step by step online.
$\frac{1}{\sqrt{1-\left(4x^2\right)^2}}\frac{d}{dx}\left(4x^2\right)$
Learn how to solve calcul différentiel problems step by step online. d/dx(arcsin(4x^2)). 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^2. Apply the formula: \left(ab\right)^n=a^nb^n. Apply the formula: ab=ab, where ab=- 16x^{4}, a=-1 and b=16. Apply the formula: \frac{d}{dx}\left(cx\right)=c\frac{d}{dx}\left(x\right).
Final answer to the problem
$\frac{8x}{\sqrt{1-16x^{4}}}$
