Esercizio
$\frac{d}{dx}\left(3\right)\left(sec^23x\right)\left(x^2\right)$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. d/dx(3sec(3x)^2x^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^2\sec\left(3x\right)^2, a=\sec\left(3x\right)^2, b=x^2 e d/dx?ab=\frac{d}{dx}\left(x^2\sec\left(3x\right)^2\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=\sec\left(3x\right). Applicare la formula: x^1=x.
Risposta finale al problema
$18x^2\sec\left(3x\right)^2\tan\left(3x\right)+6x\sec\left(3x\right)^2$