Impara online a risolvere i problemi di passo dopo passo. Find the derivative d/dx(ln(x^2+5x+4)/(x^9)). 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=\ln\left(x^2+5x+4\right) e b=x^9. Simplify \left(x^9\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 9 and n equals 2. Applicare la formula: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}. Applicare la formula: ab=ab, dove ab=- 9x^{8}\ln\left(x^2+5x+4\right), a=-1 e b=9.

Find the derivative d/dx(ln(x^2+5x+4)/(x^9))