find-the-derivative-simplify-where-possible-gt-t-coth-sqrt-t2-1

Name: find the derivative simplify where possible gt t coth sqrt t2 1
Uploaded: 2019-11-03
Duration: 1 min
Channel: Numerade
Description: Find the derivative. Simplify where possible. $ g(t) = t \coth \sqrt {t^2 + 1} $

Question

Find the derivative. Simplify where possible.
$ g(t) = t \coth \sqrt {t^2 + 1} $

Amrita Bhasin · Accepted Answer

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Problem

Find the derivative. Simplify where possible. $ …

Problem 39 Hard Difficulty

Find the derivative. Simplify where possible.
$ g(t) = t \coth \sqrt {t^2 + 1} $

Answer

$g^{\prime}(t)=c$ oth $\sqrt{t^{2}+1}-\frac{t^{2}}{\sqrt{t^{2}+1}}\left(\operatorname{csch}^{2} \sqrt{t^{2}+1}\right)$

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