How do you differentiate $y=tan(arctanx)$ ?

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Answer 1 · 2016-11-04T00:51:24

$dy/dx=1$

If $y = tan(arctanx) <=> arctany=arctanx$
or more simply, $y=x$

In which case, $dy/dx=1$

This question is fundamentally about understanding inverse trig functions!

How do you differentiate y=tan(arctanx)y=tan(arctanx)?