Impara online a risolvere i problemi di prodotti speciali passo dopo passo. d/dx(arccot((3x)/2)). Applicare la formula: \frac{d}{dx}\left(\mathrm{arccot}\left(\theta \right)\right)=\frac{-1}{1+\theta ^2}\frac{d}{dx}\left(\theta \right), dove x=\frac{3x}{2}. Applicare la formula: \frac{d}{dx}\left(\frac{x}{c}\right)=\frac{1}{c}\frac{d}{dx}\left(x\right), dove c=2 e x=3x. Applicare la formula: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, dove a=-1, b=1+\left(\frac{3x}{2}\right)^2, c=1, a/b=\frac{-1}{1+\left(\frac{3x}{2}\right)^2}, f=2, c/f=\frac{1}{2} e a/bc/f=\frac{1}{2}\frac{-1}{1+\left(\frac{3x}{2}\right)^2}\frac{d}{dx}\left(3x\right). Applicare la formula: \frac{d}{dx}\left(nx\right)=n\frac{d}{dx}\left(x\right), dove n=3.

d/dx(arccot((3x)/2))