Impara online a risolvere i problemi di passo dopo passo. d/dx(8sec(2x)tan(2x)). 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=\sec\left(2x\right)\tan\left(2x\right), a=\sec\left(2x\right), b=\tan\left(2x\right) e d/dx?ab=\frac{d}{dx}\left(\sec\left(2x\right)\tan\left(2x\right)\right). Applicare l'identità trigonometrica: \frac{d}{dx}\left(\tan\left(\theta \right)\right)=\frac{d}{dx}\left(\theta \right)\sec\left(\theta \right)^2, dove x=2x. Applicare la formula: x\cdot x^n=x^{\left(n+1\right)}, dove x^nx=\frac{d}{dx}\left(2x\right)\sec\left(2x\right)\sec\left(2x\right)^2, x=\sec\left(2x\right), x^n=\sec\left(2x\right)^2 e n=2.

d/dx(8sec(2x)tan(2x))