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
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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
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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