Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Question
Answered step-by-step
Find the derivative. Simplify where possible.$ y = sech x (1 + \ln sech x) $
Video Answer
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Suman Saurav Thakur
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
01:02
Amrita Bhasin
07:09
Mutahar Mehkri
Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 11
Hyperbolic Functions
Derivatives
Differentiation
Sivadas P.
January 12, 2021
In coshx -1/2tanh^2 x.dx
Missouri State University
Campbell University
University of Michigan - Ann Arbor
Idaho State University
Lectures
04:40
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.
44:57
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.
0:00
Find the derivative. Simpl…
01:53
Find the derivative of the…
01:48
00:30
04:05
00:49
02:31
02:09
Find the derivative of $y$…
01:33
01:54
00:29
02:07
Find thederivative…
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.
View More Answers From This Book
Find Another Textbook
01:22
Use the graph to determine open intervals on which the function is increasin…
05:31
A mass weighing 16 pounds stretches springfeet: The mass is initially re…
02:45
10. Find a polynomial function with the lowest possible degree and lead coef…
03:48
Consider a particle moving along the x-axis where x(t) is the position of th…
02:51
Business Weekly conducted a survey of graduates from 30 top MBA programs: On…
01:38
Question Which of the following are exponential functions? Select all correc…
05:25
10.4.43Consider the following convergent series. Then complete parts a t…
03:41
According to survey in country; 23% of adults do not own credit card. Suppos…
02:32
Write the quadratic function in the form g (x)=a (x-h)2+k Then, give the ver…
00:16
Construct the exponential function that contains the points (0, 3) and (2,75…