Esercizio
$\frac{d}{dx}4x\sqrt{11+0.5x}$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. d/dx(4x(11+0.5x)^(1/2)). 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\sqrt{11+0.5x}, a=x, b=\sqrt{11+0.5x} e d/dx?ab=\frac{d}{dx}\left(x\sqrt{11+0.5x}\right). Applicare la formula: \frac{d}{dx}\left(x\right)=1. Applicare la formula: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}\frac{d}{dx}\left(x\right), dove a=\frac{1}{2} e x=11+0.5x.
Risposta finale al problema
$4\left(\sqrt{11+0.5x}+x\frac{0.25}{\sqrt{11+0.5x}}\right)$