Übung
$\frac{d}{dx}\left(\frac{\log_{10}\left(x\right)}{x^2}\right)$
Schritt-für-Schritt-Lösung
Learn how to solve problems step by step online. Find the derivative d/dx(log(x)/(x^2)). Wenden Sie die Formel an: \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}, wobei a=\log \left(x\right) und b=x^2. Simplify \left(x^2\right)^2 using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals 2. Wenden Sie die Formel an: \frac{d}{dx}\left(x^a\right)=ax^{\left(a-1\right)}. Wenden Sie die Formel an: ab=ab, wobei ab=- 2x\log \left(x\right), a=-1 und b=2.
Find the derivative d/dx(log(x)/(x^2))
Endgültige Antwort auf das Problem
$\frac{x-2\ln\left(10\right)x\log \left(x\right)}{\ln\left(10\right)x^{4}}$