Esercizio
$\frac{d}{dx}\pi x^5.\arccot x$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. d/dx(pix^5arccot(x)). Applicare la formula: \frac{d}{dx}\left(cx\right)=c\frac{d}{dx}\left(x\right). Applicare la formula: \frac{d}{dx}\left(ab\right)=\frac{d}{dx}\left(a\right)b+a\frac{d}{dx}\left(b\right), dove d/dx=\frac{d}{dx}, ab=x^5\mathrm{arccot}\left(x\right), a=x^5, b=\mathrm{arccot}\left(x\right) e d/dx?ab=\frac{d}{dx}\left(x^5\mathrm{arccot}\left(x\right)\right). Applicare la formula: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}. Applicare la formula: \frac{d}{dx}\left(\mathrm{arccot}\left(\theta \right)\right)=\frac{-1}{1+\theta ^2}\frac{d}{dx}\left(\theta \right).
Risposta finale al problema
$\pi \cdot 5x^{4}\mathrm{arccot}\left(x\right)+\frac{-\pi x^5}{1+x^2}$