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Problem 45 Medium Difficulty

Find the derivative. Simplify where possible.
$ y = \coth^{-1} (\sec x) $

Answer

$-\csc x$

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Video Transcript

okay. We know we're looking at the jungle formula for co tangent off one over one minus you squared. Therefore, we know that, do you? Why? Over D backs is gonna be one over one, minus seeking ax squared. I'm seeking exchanging acts, which is negative seeking axe over tangent axe, which is the same thing as negative one over. Sign acts because remember tension to send over. Co sign. This is negative. Coast seek an axe.