Esercizio
$\frac{d}{dx}y=\frac{1}{x^n}$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. Find the derivative d/dx(1/(x^n)). 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=1 e b=x^n. Simplify \left(x^n\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals n and n equals 2. Applicare la formula: \frac{d}{dx}\left(c\right)=0, dove c=1. Applicare la formula: x+0=x, dove x=-\frac{d}{dx}\left(x^n\right).
Find the derivative d/dx(1/(x^n))
Risposta finale al problema
$-nx^{\left(-n-1\right)}$