Esercizio
$\frac{d}{dx}\left(\frac{x^5+1}{x^4}\right)$
Soluzione passo-passo
Impara online a risolvere i problemi di espressioni radicali passo dopo passo. Find the derivative d/dx((x^5+1)/(x^4)). 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=x^5+1 e b=x^4. Simplify \left(x^4\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals 2. Applicare la formula: -\left(a+b\right)=-a-b, dove a=x^5, b=1, -1.0=-1 e a+b=x^5+1. Applicare la formula: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}.
Find the derivative d/dx((x^5+1)/(x^4))
Risposta finale al problema
$\frac{5x^{8}+4\left(-x^5-1\right)x^{3}}{x^{8}}$