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Calculus / University Calculus: Early Transcendentals 2 / Chapter 5.4 / Problem 80E

University Calculus: Early Transcendentals | 2nd Edition | ISBN: 9780321717399 | Authors: Joel R. Hass; Maurice D. Weir; George B. Thomas Jr.

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Find the linearization of at x = -1.

Chapter 5, Problem 80E

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QUESTION:

Find the linearization of

\(g(x)=3+\int_{1}^{x^{2}} \sec (t-1) d t\)

at \(x=-1\)

Equation Transcription:

$g(x)=3+\int\limits_{1}^{{x}^{2}}sec(t-1)dt$

$x=-1$

Text Transcription:

g(x)=3+ integral _1 ^x^2 sec(t-1) dt

x=-1

Questions & Answers

QUESTION:

Find the linearization of

\(g(x)=3+\int_{1}^{x^{2}} \sec (t-1) d t\)

at \(x=-1\)

Equation Transcription:

$g(x)=3+\int\limits_{1}^{{x}^{2}}sec(t-1)dt$

$x=-1$

Text Transcription:

g(x)=3+ integral _1 ^x^2 sec(t-1) dt

x=-1

ANSWER:

Solution
Step 1 of 2:
We have to find the linearization of $g(x)=3+\int\limits_{1}^{{x}^{2}}sec\ (t-1)\ dt$ at $x=-1$

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