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\frac{d}{dy}\left(arctan\left(\frac{y}{x}\right)\right)

Find the derivative of arctan(y/x)

Answer

$\frac{x}{y^2+x^2}$

Step-by-step explanation

Problem

$\frac{d}{dy}\left(arctan\left(\frac{y}{x}\right)\right)$
1

Taking the derivative of arctangent

$\frac{1}{\left(\frac{y}{x}\right)^2+1}\cdot\frac{d}{dy}\left(\frac{y}{x}\right)$

Unlock this step-by-step solution!

Answer

$\frac{x}{y^2+x^2}$
$\frac{d}{dy}\left(arctan\left(\frac{y}{x}\right)\right)$

Main topic:

Differential calculus

Used formulas:

3. See formulas

Time to solve it:

~ 0.4 seconds