Impara online a risolvere i problemi di passo dopo passo. Find the derivative d/dx(log(3*x^3)/(e^(2x))). Applicare la formula: \frac{d}{dx}\left(\frac{a}{b}\right)=\frac{\frac{d}{dx}\left(a\right)b-a\frac{d}{dx}\left(b\right)}{b^2}, dove a=\log \left(3x^3\right) e b=e^{2x}. Simplify \left(e^{2x}\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2x and n equals 2. Applicare la formula: \frac{d}{dx}\left(e^x\right)=e^x\frac{d}{dx}\left(x\right), dove x=2x. Applicare la formula: \frac{d}{dx}\left(nx\right)=n\frac{d}{dx}\left(x\right), dove n=2.

Find the derivative d/dx(log(3*x^3)/(e^(2x)))