Use the quotient rule to find the derivative of 4x² + 2 k(x) 6x - 2 =

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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Use the quotient rule to find the derivative of
4x² + 2
k(x)
6x - 2
=
If we set f(x)
then
f'(x)=
g'(x)
Thus k'(x)
=
=
=
=
4x² + 2 and g(x)
and
Simplifying, we have k'(x)
(6x - 2)².
(6x - 2) -
· (4x² + 2)) / (6x - 2)².
= 6x - 2,
—
=
Transcribed Image Text:Use the quotient rule to find the derivative of 4x² + 2 k(x) 6x - 2 = If we set f(x) then f'(x)= g'(x) Thus k'(x) = = = = 4x² + 2 and g(x) and Simplifying, we have k'(x) (6x - 2)². (6x - 2) - · (4x² + 2)) / (6x - 2)². = 6x - 2, — =
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