Impara online a risolvere i problemi di passo dopo passo. Find the derivative d/dx((x^3(x-2)^2)/((x^2+9)^9)). Applicare la formula: \frac{d}{dx}\left(x\right)=y=x, dove d/dx=\frac{d}{dx}, d/dx?x=\frac{d}{dx}\left(\frac{x^3\left(x-2\right)^2}{\left(x^2+9\right)^9}\right) e x=\frac{x^3\left(x-2\right)^2}{\left(x^2+9\right)^9}. Applicare la formula: y=x\to \ln\left(y\right)=\ln\left(x\right), dove x=\frac{x^3\left(x-2\right)^2}{\left(x^2+9\right)^9}. Applicare la formula: y=x\to y=x, dove x=\ln\left(\frac{x^3\left(x-2\right)^2}{\left(x^2+9\right)^9}\right) e y=\ln\left(y\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=3\ln\left(x\right)+2\ln\left(x-2\right)-9\ln\left(x^2+9\right).

Find the derivative d/dx((x^3(x-2)^2)/((x^2+9)^9))