Find the following using the table below. x 3 4 f(x) 3 5 1 f'(x) -5 2 -4 1 g(x) 1 4 2 3 g'(x) 3 2 -1 4 If m(x) = 1 2 25 If q(x) = f(x) g(x), then q'(3) . f(x) g(x)' NA -2 then m' (3) If p(x) = f(g(x)), then p'(3) = = = -9 7 4 OF 08

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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Find the following using the table below.
X
1 2 3
4
f(x)
35
1-2
ƒ'(x) -5 2 -4 1
g(x)
14
2 3
g'(x)
3 2 -1 4
If q(x) = f(x) · g(x), then q'(3)
If m(x)
=
f(x)
g(x)
then m' (3)
=
If p(x) = f(g(x)), then pʼ(3) =
=
=
-9
74
Transcribed Image Text:Find the following using the table below. X 1 2 3 4 f(x) 35 1-2 ƒ'(x) -5 2 -4 1 g(x) 14 2 3 g'(x) 3 2 -1 4 If q(x) = f(x) · g(x), then q'(3) If m(x) = f(x) g(x) then m' (3) = If p(x) = f(g(x)), then pʼ(3) = = = -9 74
Find the first derivative of z = tan(sin²(t)).
dz
dt
Note that the system does not like sin² x notation. Instead, you must input as sin²(x) if needed.
=
Transcribed Image Text:Find the first derivative of z = tan(sin²(t)). dz dt Note that the system does not like sin² x notation. Instead, you must input as sin²(x) if needed. =
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