Esercizio
$\frac{d}{dx}\left(4x-5\right)^2\left(4x^2+8\right)^4$
Soluzione passo-passo
Impara online a risolvere i problemi di integrali definiti passo dopo passo. d/dx((4x-5)^2(4x^2+8)^4). 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=\left(4x-5\right)^2\left(4x^2+8\right)^4, a=\left(4x-5\right)^2, b=\left(4x^2+8\right)^4 e d/dx?ab=\frac{d}{dx}\left(\left(4x-5\right)^2\left(4x^2+8\right)^4\right). Applicare la formula: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}\frac{d}{dx}\left(x\right), dove a=2 e x=4x-5. Applicare la formula: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}\frac{d}{dx}\left(x\right), dove a=4 e x=4x^2+8. Applicare la formula: x^1=x.
Risposta finale al problema
$8\left(4x-5\right)\left(4x^2+8\right)^4+32\left(4x-5\right)^2\left(4x^2+8\right)^{3}x$