Impara online a risolvere i problemi di passo dopo passo. d/dx((2x^2sin(x))^(4x)). Applicare la formula: \frac{d}{dx}\left(a^b\right)=y=a^b, dove d/dx=\frac{d}{dx}, a=2x^2\sin\left(x\right), b=4x, a^b=\left(2x^2\sin\left(x\right)\right)^{4x} e d/dx?a^b=\frac{d}{dx}\left(\left(2x^2\sin\left(x\right)\right)^{4x}\right). Applicare la formula: y=a^b\to \ln\left(y\right)=\ln\left(a^b\right), dove a=2x^2\sin\left(x\right) e b=4x. Applicare la formula: \ln\left(x^a\right)=a\ln\left(x\right), dove a=4x e x=2x^2\sin\left(x\right). 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=4x\ln\left(2x^2\sin\left(x\right)\right).

d/dx((2x^2sin(x))^(4x))