Differentiate using the product rule. 6) y = 4x(7x3 - 4x)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.3: Polynomials And Special Products
Problem 3ECP
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Differentiate using the product rule.
6) y = 4x(7x3 - 4×)
Transcribed Image Text:Differentiate using the product rule. 6) y = 4x(7x3 - 4×)
Expert Solution
Step 1

Product rule of differentiation is.

if y= f(x).g(x) then

y'= (f(x))' .g(x) +f(x).(g(x))'

where y' is differentiation of y with  respect to x.

y'= dy/dx.

And we also use the formula

d(xn)/dx = nxn-1.

 

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