Impara online a risolvere i problemi di passo dopo passo. d/dx(sin(x)^(4x^3-8x+14)). Applicare la formula: \frac{d}{dx}\left(a^b\right)=y=a^b, dove d/dx=\frac{d}{dx}, a=\sin\left(x\right), b=4x^3-8x+14, a^b=\sin\left(x\right)^{\left(4x^3-8x+14\right)} e d/dx?a^b=\frac{d}{dx}\left(\sin\left(x\right)^{\left(4x^3-8x+14\right)}\right). Applicare la formula: y=a^b\to \ln\left(y\right)=\ln\left(a^b\right), dove a=\sin\left(x\right) e b=4x^3-8x+14. Applicare la formula: \ln\left(x^a\right)=a\ln\left(x\right), dove a=4x^3-8x+14 e x=\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=\left(4x^3-8x+14\right)\ln\left(\sin\left(x\right)\right).

d/dx(sin(x)^(4x^3-8x+14))