Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! 🙂 https://www.patreon.com/patrickjmt !! Deriving the Derivative of Inverse Tangent or y = arctan (x). In this video, I show how to derive the derivative formula for y = arctan(x). This is a super useful procedure to remember as this is how many of the inverse derivative formulas are derived! All we need to do is use implicit differentiation and some trig identities.