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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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Suppose that f(5) = 1, f '(5) = 4, g(5) = −5, and g'(5) = 9. Find the following values.
(a) (fg)'(5)
1
(b) (f/g)'(5)
(c) (g/f)'(5)
Enhanced Feedback
Please try again. You have to use either the Product Rule or the Quotient Rule to solve these pro
Product Rule, first identify the two factors of the product as f(x)g(x), and then use the formula
id
[f(x)g(x)] = f(x) [g(x)] + g(x)__[f(x)]. To apply the Quotient Rule, first identify the numer
d
d
dx
dx
dx
X
dx
d_[f(x)] _ g(x) [f(x)] - f(x)=[g(x)]
dx
d(x) g(x).
[g(x)]²
the x-value of interest and then replace the function values with given values.
Need Help? Read It
the quotient
f(x)
g(x)'
then use the formula
Watch It
Finally, rep
Transcribed Image Text:Suppose that f(5) = 1, f '(5) = 4, g(5) = −5, and g'(5) = 9. Find the following values. (a) (fg)'(5) 1 (b) (f/g)'(5) (c) (g/f)'(5) Enhanced Feedback Please try again. You have to use either the Product Rule or the Quotient Rule to solve these pro Product Rule, first identify the two factors of the product as f(x)g(x), and then use the formula id [f(x)g(x)] = f(x) [g(x)] + g(x)__[f(x)]. To apply the Quotient Rule, first identify the numer d d dx dx dx X dx d_[f(x)] _ g(x) [f(x)] - f(x)=[g(x)] dx d(x) g(x). [g(x)]² the x-value of interest and then replace the function values with given values. Need Help? Read It the quotient f(x) g(x)' then use the formula Watch It Finally, rep
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