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

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