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Apply the trigonometric identity: $\frac{d}{dx}\left(\sin\left(\theta \right)\right)$$=\frac{d}{dx}\left(\theta \right)\cos\left(\theta \right)$, where $x=\frac{1}{x}$
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$\frac{d}{dx}\left(\frac{1}{x}\right)\cos\left(\frac{1}{x}\right)$
Learn how to solve problems step by step online. d/dx(sin(1/x)). Apply the trigonometric identity: \frac{d}{dx}\left(\sin\left(\theta \right)\right)=\frac{d}{dx}\left(\theta \right)\cos\left(\theta \right), where x=\frac{1}{x}. Apply the formula: \frac{d}{dx}\left(\frac{a}{b}\right)=\frac{\frac{d}{dx}\left(a\right)b-a\frac{d}{dx}\left(b\right)}{b^2}, where a=1 and b=x. Apply the formula: \frac{d}{dx}\left(c\right)=0, where c=1. Apply the formula: x+0=x, where x=-\frac{d}{dx}\left(x\right).
