Impara online a risolvere i problemi di passo dopo passo. Find the derivative d/dx(ln(7+x)/(x^5)). 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(7+x\right) e b=x^5. Simplify \left(x^5\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 5 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=- 5x^{4}\ln\left(7+x\right), a=-1 e b=5.

Find the derivative d/dx(ln(7+x)/(x^5))