Impara online a risolvere i problemi di passo dopo passo. d/dx((tan(x)/(x^3-4x+7))^(1/2)). 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=\frac{\tan\left(x\right)}{x^3-4x+7}. Applicare la formula: \left(\frac{a}{b}\right)^n=\left(\frac{b}{a}\right)^{\left|n\right|}, dove a=\tan\left(x\right), b=x^3-4x+7 e n=-\frac{1}{2}. 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=\tan\left(x\right) e b=x^3-4x+7. Applicare la formula: \frac{a}{b}\frac{c}{f}=\frac{ac}{bf}, dove a=1, b=2, c=\left(x^3-4x+7\right)\frac{d}{dx}\left(\tan\left(x\right)\right)-\frac{d}{dx}\left(x^3-4x+7\right)\tan\left(x\right), a/b=\frac{1}{2}, f=\left(x^3-4x+7\right)^2, c/f=\frac{\left(x^3-4x+7\right)\frac{d}{dx}\left(\tan\left(x\right)\right)-\frac{d}{dx}\left(x^3-4x+7\right)\tan\left(x\right)}{\left(x^3-4x+7\right)^2} e a/bc/f=\frac{1}{2}\sqrt{\frac{x^3-4x+7}{\tan\left(x\right)}}\frac{\left(x^3-4x+7\right)\frac{d}{dx}\left(\tan\left(x\right)\right)-\frac{d}{dx}\left(x^3-4x+7\right)\tan\left(x\right)}{\left(x^3-4x+7\right)^2}.

d/dx((tan(x)/(x^3-4x+7))^(1/2))