Impara online a risolvere i problemi di passo dopo passo. Find the derivative d/dx(csc(x)/(1+csc(x))). Applicare la 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}, dove a=\csc\left(x\right) e b=1+\csc\left(x\right). Applicare l'identità trigonometrica: \frac{d}{dx}\left(\csc\left(\theta \right)\right)=-\frac{d}{dx}\left(\theta \right)\csc\left(\theta \right)\cot\left(\theta \right). Applicare la formula: -\left(a+b\right)=-a-b, dove a=1, b=\csc\left(x\right), -1.0=-1 e a+b=1+\csc\left(x\right). Applicare la formula: \frac{d}{dx}\left(x\right)=1.

Find the derivative d/dx(csc(x)/(1+csc(x)))