Here are three functions involving exponential functions: s(x) i) s(x) = 글 (e" -e") i) c(x) = } (e* +e*) iii) (x) =' c(x) If we associate each function with one of the three trig functions: a) b) c) s(x) with sinx c(x) with cosx 1(x) with tanx. Show that the derivatives of these functions behave similarly to their associated trig functions.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 44E
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Here are three functions involving exponential functions:
i) s(x) = (e* – e*)
ii) c(x) = } (e* +e*)
s(x)
iii) (x) =
c(x)
If we associate each function with one of the three trig functions:
a)
b)
c)
s(x) with sin.x
c(x) with cos.x
1(x) with tanx.
Show that the derivatives of these functions behave similarly to their associated trig functions.
Transcribed Image Text:Here are three functions involving exponential functions: i) s(x) = (e* – e*) ii) c(x) = } (e* +e*) s(x) iii) (x) = c(x) If we associate each function with one of the three trig functions: a) b) c) s(x) with sin.x c(x) with cos.x 1(x) with tanx. Show that the derivatives of these functions behave similarly to their associated trig functions.
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