Impara online a risolvere i problemi di passo dopo passo. d/dx((1+1/x)^(2x)). Applicare la formula: \frac{d}{dx}\left(a^b\right)=y=a^b, dove d/dx=\frac{d}{dx}, a=1+\frac{1}{x}, b=2x, a^b=\left(1+\frac{1}{x}\right)^{2x} e d/dx?a^b=\frac{d}{dx}\left(\left(1+\frac{1}{x}\right)^{2x}\right). Applicare la formula: y=a^b\to \ln\left(y\right)=\ln\left(a^b\right), dove a=1+\frac{1}{x} e b=2x. Applicare la formula: \ln\left(x^a\right)=a\ln\left(x\right), dove a=2x e x=1+\frac{1}{x}. Applicare la formula: \ln\left(y\right)=x\to \frac{d}{dx}\left(\ln\left(y\right)\right)=\frac{d}{dx}\left(x\right), dove x=2x\ln\left(1+\frac{1}{x}\right).

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