Prove the differentiation formula. d dx Let y = sech(x), then, in exponential terms, y = 11 Taking the derivative, in exponential terms, gives the following. dy dx = -[sech(x)] = -sech(x) tanh(x) et X -2 = -sech(x) tanh(x) + e-x et ] ----) -e-x ex + ex
Prove the differentiation formula. d dx Let y = sech(x), then, in exponential terms, y = 11 Taking the derivative, in exponential terms, gives the following. dy dx = -[sech(x)] = -sech(x) tanh(x) et X -2 = -sech(x) tanh(x) + e-x et ] ----) -e-x ex + ex
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Prove the differentiation formula.
d
dx
Let y = sech(x), then, in exponential terms, y =
11
Taking the derivative, in exponential terms, gives the following.
dy
dx
||
[sech(x)]-sech(x) tanh(x)
et
X
Submit Answer
-2
= -sech(x) tanh(x)
+ e-x
et
ex](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb303fae0-25ae-4387-a9c4-45b3ba0171df%2F77473a94-08ba-41a3-b238-4fbf7f0a1e73%2Fiz3fyy7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Prove the differentiation formula.
d
dx
Let y = sech(x), then, in exponential terms, y =
11
Taking the derivative, in exponential terms, gives the following.
dy
dx
||
[sech(x)]-sech(x) tanh(x)
et
X
Submit Answer
-2
= -sech(x) tanh(x)
+ e-x
et
ex
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