Derivative of $\operatorname{atan}{\left(u \right)}$

The calculator will find the derivative of

\operatorname{atan}{\left(u \right)}

, with steps shown.

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Your Input

Find $\frac{d}{du} \left(\operatorname{atan}{\left(u \right)}\right)$ .

Solution

The derivative of the inverse tangent is $\frac{d}{du} \left(\operatorname{atan}{\left(u \right)}\right) = \frac{1}{u^{2} + 1}$ :

{\color{red}\left(\frac{d}{du} \left(\operatorname{atan}{\left(u \right)}\right)\right)} = {\color{red}\left(\frac{1}{u^{2} + 1}\right)}

Thus, $\frac{d}{du} \left(\operatorname{atan}{\left(u \right)}\right) = \frac{1}{u^{2} + 1}$ .

Answer

$\frac{d}{du} \left(\operatorname{atan}{\left(u \right)}\right) = \frac{1}{u^{2} + 1}$ A