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# Find the derivative. Simplify where possible.$y = sech x (1 + \ln sech x)$

## $$-\sec h x \tan h x-\sec h x \tanh x(1+\ln \sec h x)$$

Derivatives

Differentiation

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Sivadas P.

January 12, 2021

In coshx -1/2tanh^2 x.dx

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

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### Video Transcript

Hello. Uh we have a problem number when we have the problem in which I'm going to find derivative of who I call to sake X one plus Ellen sake of hyperbolic function X. Okay. And so to find the web adi X. So we have to use the caution from under product rule keep first differentiate second. So zero place one by Sake X in two. This differentiation of sake access sake x. and uh 10 x. Okay minus six X. And the next all things that are hyperbolic minus ckx into dan X bless one plus Ellen six X minus sick X 10 X. So this will be canceled out. Basically we'll be left with sake X and minus dan X. Okay bless if you just open it up it will be yeah. Right okay. Let us write minus sake X then X minus alan seek X and two say tex 10 X. Okay So this will be -2 sake X. 10 X. And this will become simply minus and then say X sake X into 10 X. If you take sake X and 10 access common will be left with uh with negative side of course two plus Ln psychics they should be answered. Thank you. Every function is going to have a really function. Thank you so much.

Chandigarh University

#### Topics

Derivatives

Differentiation

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

Lectures

Join Bootcamp