Calculus: Single And Multivariable
7th Edition
ISBN: 9781119444190
Author: Hughes-Hallett, Deborah; Mccallum, William G.; Gleason, Andrew M.; Connally, Eric; Kalaycioglu, Selin; Flath, Daniel E.; Lahme, Brigitte; Lomen, David O.; Lock, Patti Frazer; Lovelock, David; Morris, Jerry; Lozano, Guadalupe I.; Mumford, David; Quinney, D
Publisher: WILEY
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Textbook Question
Chapter 10.2, Problem 28E
- (a) Find the tangent line approximation to the function g whose Taylor series is
g(x)=ln5−∞∑n=12n.(n−1)!5nxn.
- (b) What are the slope and y-intercept of this line?
- (c) Is the tangent line above or below the graph of g?
Expert Solution & Answer
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For the following function f and real number a,
a. find the slope of the tangent line mtan
=
f' (a), and
b. find the equation of the tangent line to f at x = a.
f(x)=
2
=
a = 2
x2
a. Slope:
b. Equation of tangent line: y
Please refer below
Chapter 10 Solutions
Calculus: Single And Multivariable
Ch. 10.2 - For Exercises 19, nd the rst four nonzero terms of...Ch. 10.2 - (a) Find the tangent line approximation to the...Ch. 10.2 - By graphing the function f(x)=11+x and several of...Ch. 10.2 - In Problems 5354 solve exactly for the variable....Ch. 10.3 - Let g(z) be the function obtained by substituting...Ch. 10.3 - Find the rst three terms of the Taylor series for...
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