12. a(t) a' (t) b(t) b'(t) -4 2 -3 -4 1 a. f(t) = a(t)b(t) Find f'(-4). b. g(t) = -3a(t)b(t) Find g'(-4). c. h(t) = (1- a(t)(3b(t) +2) Find h'(-4).
12. a(t) a' (t) b(t) b'(t) -4 2 -3 -4 1 a. f(t) = a(t)b(t) Find f'(-4). b. g(t) = -3a(t)b(t) Find g'(-4). c. h(t) = (1- a(t)(3b(t) +2) Find h'(-4).
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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Question
Use the table to find the value of the derivatives of each function.
![12.
a(t)
a' (t)
b(t)
b'(t)
-4
2
-3
-4
a. f(t) = a(t)b(t)
Find f'(-4).
b. g(t) = -3a(t)b(t)
Find g'(-4).
h(t) = (1- a(t))(3b(t) + 2)
Find h'(-4).
c.
%3D
FEB
66
22
tv](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F198e5e1e-f879-4e60-b997-12ec96a74c50%2Fbae13105-67da-4913-acd0-a14999350c37%2F5kyplac_processed.jpeg&w=3840&q=75)
Transcribed Image Text:12.
a(t)
a' (t)
b(t)
b'(t)
-4
2
-3
-4
a. f(t) = a(t)b(t)
Find f'(-4).
b. g(t) = -3a(t)b(t)
Find g'(-4).
h(t) = (1- a(t))(3b(t) + 2)
Find h'(-4).
c.
%3D
FEB
66
22
tv
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