Final answer to the problem
$\frac{1}{x}$
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1
Apply the formula: $\frac{d}{dx}\left(\ln\left(x\right)\right)$$=\frac{1}{x}\frac{d}{dx}\left(x\right)$
$\frac{1}{5x}\frac{d}{dx}\left(5x\right)$
Learn how to solve equations logarithmiques problems step by step online.
$\frac{1}{5x}\frac{d}{dx}\left(5x\right)$
Learn how to solve equations logarithmiques problems step by step online. d/dx(ln(5x)). Apply the formula: \frac{d}{dx}\left(\ln\left(x\right)\right)=\frac{1}{x}\frac{d}{dx}\left(x\right). Apply the formula: \frac{d}{dx}\left(nx\right)=n\frac{d}{dx}\left(x\right), where n=5. Apply the formula: \frac{d}{dx}\left(x\right)=1. Apply the formula: a\frac{b}{x}=\frac{ab}{x}, where a=5, b=1 and x=5x.
Final answer to the problem
$\frac{1}{x}$
