STT Let f(x)=√2 cos x and let a = 1 parts a-d Find the linear approximation L for the function f at the point a. L(x)= Graph C. Based on the graph, state whether linear approximations STI to f near a are underestimates or overestimates -Linear approximations to f(x) = 7√2 cos x mear a T because the graph of L lies. are the graph of f near a Compute f"(a) to confirm the conclusion in part (c) -The value of f"(x) at a =_ STT is f" ST 4 which is concave Part (c) O. This means that f is Confirming the conclusion in

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...
Question
Parts a-d
G
C
C
Let f(x)=√2 cos x and let a = STT parts a-d
Find the linear approximation L for the function
f at the point a.
L(x)=
Graph
Cobased on the graph, State whether linear approximations
to & near a are underestimates or overestimates
STI
-Linear approximations to f(x)=7√2 cos x mear a 4
because the graph of L lies.
are
the
graph of f near a
Compute f"(a) to confirm the conclusion in part (c)
-The value of f"(x) at a =_
a = 5TT
4
f" STT
which is
concave
Part (c)
-
is
O. This means that f is
Confirming the conclusion in
Transcribed Image Text:G C C Let f(x)=√2 cos x and let a = STT parts a-d Find the linear approximation L for the function f at the point a. L(x)= Graph Cobased on the graph, State whether linear approximations to & near a are underestimates or overestimates STI -Linear approximations to f(x)=7√2 cos x mear a 4 because the graph of L lies. are the graph of f near a Compute f"(a) to confirm the conclusion in part (c) -The value of f"(x) at a =_ a = 5TT 4 f" STT which is concave Part (c) - is O. This means that f is Confirming the conclusion in
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