Prove the formulas given in this table for the derivatives of the functions cosh, tanh, csch, sech, and coth. Which of the following are proven correctly? (Select all that apply.)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
icon
Related questions
icon
Concept explainers
Question

Prove the formulas given in this table for the derivatives of the functions cosh, tanh, csch, sech, and coth. Which of the following are proven correctly? (Select all that apply.)

 

 

-(coth x) = d( sinh x
dx\ cosh x
cosh x cosh x – sinh x sinh x - cosh3x – sinh²x
-csch?x
%3D
cosh?x
cosh?x
cosh?x
O csch x) = sinh x.
cosh x
sinh?x
cosh x
sinh x sinh x
-csch x coth x
%3D
□음(cosh x) =D 글(e*-e"=글(e" + e-")= sinh x
e-X)
dx
□은(csch x) = 의-1)=-Cosh2x
sinh?x
1_ . cosh²x = - csch x coth x
sinh x
sinh x
sinh x
sinh x
1.
-(sech x)
= -sech x tanh x
dx\ cosh x
cosh? x
cosh x
cosh x
II
Transcribed Image Text:-(coth x) = d( sinh x dx\ cosh x cosh x cosh x – sinh x sinh x - cosh3x – sinh²x -csch?x %3D cosh?x cosh?x cosh?x O csch x) = sinh x. cosh x sinh?x cosh x sinh x sinh x -csch x coth x %3D □음(cosh x) =D 글(e*-e"=글(e" + e-")= sinh x e-X) dx □은(csch x) = 의-1)=-Cosh2x sinh?x 1_ . cosh²x = - csch x coth x sinh x sinh x sinh x sinh x 1. -(sech x) = -sech x tanh x dx\ cosh x cosh? x cosh x cosh x II
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 6 images

Blurred answer
Knowledge Booster
Application of Integration
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,