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Derive the function ln((x/y)^0.5) with respect to x

\frac{d}{dx}\left(\ln\left(\sqrt{\frac{x}{y}}\right)\right)

Step by step solution

Problem

$\frac{d}{dx}\left(\ln\left(\sqrt{\frac{x}{y}}\right)\right)$

Show full step-by-step solution

Answer

$\frac{\frac{1}{2}\cdot\frac{d}{dx}\left(\frac{x}{y}\right)}{\sqrt{y}}$

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$\frac{d}{dx}\left(\ln\left(\sqrt{\frac{x}{y}}\right)\right)$

Main topic:

Differential calculus

Used formulas:

1. See formulas

Time to solve it:

0.41 seconds