Let f(x) = lnx Since f(x) rs for x>0 Continuous Since (1,1,04), by mean such that on [1, 1.04] and differentiable value theorem, there exists & € (1,1004) f(1104)-f(1) = f'(c) 1-04-1 ICC 01.04 and therefore, D< In (1.04)< in(1,04) In (1-04) 1.04-1 we have <<, = It gives on and an estimation

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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Let f(x) = lnx
Since f(x) is
(1, 1,04), by
such that
on [1, 1.04] and differentiable on
, by mean value theorem, there exists C € (1,1,04)
f(1104)-f(1)
f'(c)
C
1-04-1
since Iccc look
therefore
for x>0
continuous
in (1.04)
)
D<
No.
and
< In(1,04)<
Date
in (1-04)
1.04-1
we have <=<D, and
It gives
an estimation of
Transcribed Image Text:Let f(x) = lnx Since f(x) is (1, 1,04), by such that on [1, 1.04] and differentiable on , by mean value theorem, there exists C € (1,1,04) f(1104)-f(1) f'(c) C 1-04-1 since Iccc look therefore for x>0 continuous in (1.04) ) D< No. and < In(1,04)< Date in (1-04) 1.04-1 we have <=<D, and It gives an estimation of
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The given function is f open parentheses x close parentheses equals ln open parentheses x close parentheses

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