Impara online a risolvere i problemi di passo dopo passo. d/dx(((x(x+9))/((10x+1)(10x+2)))^(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{x\left(x+9\right)}{\left(10x+1\right)\left(10x+2\right)}. Applicare la formula: \left(\frac{a}{b}\right)^n=\left(\frac{b}{a}\right)^{\left|n\right|}, dove a=x\left(x+9\right), b=\left(10x+1\right)\left(10x+2\right) 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=x\left(x+9\right) e b=\left(10x+1\right)\left(10x+2\right). Applicare la formula: \left(ab\right)^n=a^nb^n.

d/dx(((x(x+9))/((10x+1)(10x+2)))^(1/2))