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Find the derivative. Simplify where possible. $ …

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Problem 36 Hard Difficulty

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


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01:02

Amrita Bhasin

07:09

Mutahar Mehkri

Related Courses

Calculus 1 / AB

Calculus: Early Transcendentals

Chapter 3

Differentiation Rules

Section 11

Hyperbolic Functions

Related Topics

Derivatives

Differentiation

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Sivadas P.

January 12, 2021

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

Top Calculus 1 / AB Educators
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Video Thumbnail

04:40

Derivatives - Intro

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

Video Thumbnail

44:57

Differentiation Rules - Overview

In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.

Join Course
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Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
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Problem 21
Problem 22
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Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
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Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
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Problem 58
Problem 59

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.

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Related Topics

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Catherine Ross

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Anna Marie Vagnozzi

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Lectures

Video Thumbnail

04:40

Derivatives - Intro

In mathematics, a derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's velocity. The concept of a derivative developed as a way to measure the steepness of a curve; the concept was ultimately generalized and now "derivative" is often used to refer to the relationship between two variables, independent and dependent, and to various related notions, such as the differential.

Video Thumbnail

44:57

Differentiation Rules - Overview

In mathematics, a differentiation rule is a rule for computing the derivative of a function in one variable. Many differentiation rules can be expressed as a product rule.

Join Course
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