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Find the derivative of ln(((2+x^2)^0.5)/(x^2))

\frac{d}{dx}\left(\ln\left(\frac{\sqrt{2+x^2}}{x^2}\right)\right)

Step by step solution

Problem

$\frac{d}{dx}\left(\ln\left(\frac{\sqrt{2+x^2}}{x^2}\right)\right)$

Show full step-by-step solution

Answer

$\frac{x^2\frac{d}{dx}\left(\frac{\sqrt{x^2+2}}{x^2}\right)}{\sqrt{x^2+2}}$
$\frac{d}{dx}\left(\ln\left(\frac{\sqrt{2+x^2}}{x^2}\right)\right)$

Main topic:

Logarithmic differentiation

Used formulas:

1. See formulas

Time to solve it:

0.4 seconds