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Derive the function ln(x^0.5(x-3)^0.5) with respect to x

\frac{d}{dx}\left(\ln\left(\sqrt{x}\sqrt{x-3}\right)\right)

Step by step solution

Problem

$\frac{d}{dx}\left(\ln\left(\sqrt{x}\sqrt{x-3}\right)\right)$

Show full step-by-step solution

Answer

$\frac{1}{x-3}$
$\frac{d}{dx}\left(\ln\left(\sqrt{x}\sqrt{x-3}\right)\right)$

Main topic:

Differential calculus

Used formulas:

6. See formulas

Time to solve it:

0.3 seconds