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

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

Derivatives

Differentiation

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##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

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### Video Transcript

Okay. We know that G Prime of tea. Using the product rule would be one times coach tangent h squared of t squared, plus one with tee times. This is a prevalent to co tangent H squirt of cheese squared, plus Juan minus t squared. Chris Eakin. Age squirt of cheese squared plus one over the squirt of t squared, plus one.

#### Topics

Derivatives

Differentiation

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp