e = exp(1) is called the exponential function. Which of the following are true?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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e = exp(1) is called the exponential function. Which of the following are true?
(Select all that are correct.)
k
exp(x) = Σk=0 %/!
exp(x)
=
Ə
əx
-exp(x)
□ exp(x) = exp (2/2) + exp ( ² )
exp(x): = exp (2) exp (2/2)
□ In(exp(x)) = x
Transcribed Image Text:e = exp(1) is called the exponential function. Which of the following are true? (Select all that are correct.) k exp(x) = Σk=0 %/! exp(x) = Ə əx -exp(x) □ exp(x) = exp (2/2) + exp ( ² ) exp(x): = exp (2) exp (2/2) □ In(exp(x)) = x
In statistics, we use the notation 'log' to mean the logarithm with base e, or
natural log. In calculus, this is sometimes notated 'In'. Which are true about the
natural log? (Select all that are correct.)
log(exp(x)) = x
log(x + y) = log(x) + log(y)
□ log(xy) = log(x) + log(y)
log(x) = log(x)"
□ log(x²) = y × log(x)
Transcribed Image Text:In statistics, we use the notation 'log' to mean the logarithm with base e, or natural log. In calculus, this is sometimes notated 'In'. Which are true about the natural log? (Select all that are correct.) log(exp(x)) = x log(x + y) = log(x) + log(y) □ log(xy) = log(x) + log(y) log(x) = log(x)" □ log(x²) = y × log(x)
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