Impara online a risolvere i problemi di passo dopo passo. d/dx((4x^3+1)^cos(x)). Applicare la formula: \frac{d}{dx}\left(a^b\right)=y=a^b, dove d/dx=\frac{d}{dx}, a=4x^3+1, b=\cos\left(x\right), a^b=\left(4x^3+1\right)^{\cos\left(x\right)} e d/dx?a^b=\frac{d}{dx}\left(\left(4x^3+1\right)^{\cos\left(x\right)}\right). Applicare la formula: y=a^b\to \ln\left(y\right)=\ln\left(a^b\right), dove a=4x^3+1 e b=\cos\left(x\right). Applicare la formula: \ln\left(x^a\right)=a\ln\left(x\right), dove a=\cos\left(x\right) e x=4x^3+1. 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=\cos\left(x\right)\ln\left(4x^3+1\right).

d/dx((4x^3+1)^cos(x))