Calculus - (Show all work, no calculator)

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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Calculus - (Show all work, no calculator)

Let f(x) and g(x) be two functions such that f(5) = 1, f'(5) = 6,
g(5) = -3, g(5) = 2. Find (fg)'(5)
a) -3
b) ƒ(5) g(5)
c) f(5) g(5) + f'(5) g(5)
d) 18
2
-
e) None of the above.
Note that the derivative of f(x) at x =
derivative of g(x) at x = 5 is 2.
5 is 6 and the
Transcribed Image Text:Let f(x) and g(x) be two functions such that f(5) = 1, f'(5) = 6, g(5) = -3, g(5) = 2. Find (fg)'(5) a) -3 b) ƒ(5) g(5) c) f(5) g(5) + f'(5) g(5) d) 18 2 - e) None of the above. Note that the derivative of f(x) at x = derivative of g(x) at x = 5 is 2. 5 is 6 and the
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