Question

$$f ( x ) = \cot ( \sin ( \sqrt { x ^ { 2 } + x ^ { 2 } } ) )$$

Evaluate

$\cot(\sin(\sqrt{2}|x|))$

Differentiate w.r.t. x

$-\frac{\sqrt{2}sign(x)\cos(\sqrt{2}|x|)}{\left(\sin(\sin(\sqrt{2}|x|))\right)^{2}}$