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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 $a=\sin\left(x\right)$ and $b=\cos\left(x\right)$
Learn how to solve règle du quotient de la différentiation problems step by step online.
$\frac{\frac{d}{dx}\left(\sin\left(x\right)\right)\cos\left(x\right)-\sin\left(x\right)\frac{d}{dx}\left(\cos\left(x\right)\right)}{\cos\left(x\right)^2}$
Learn how to solve règle du quotient de la différentiation problems step by step online. Find the derivative d/dx(sin(x)/cos(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=\sin\left(x\right) and b=\cos\left(x\right). Apply the trigonometric identity: \frac{d}{dx}\left(\sin\left(\theta \right)\right)=\cos\left(\theta \right). Apply the formula: x\cdot x=x^2, where x=\cos\left(x\right). Apply the trigonometric identity: \frac{d}{dx}\left(\cos\left(\theta \right)\right)=-\sin\left(\theta \right).