Use the product rule to find the derivative of each function a. f(x)= (3x² + 2)(2x-1) u(x) = 3x²+2 u'(x) = Find v(x)=2x-1 b. f(x)=(5x²-1)(4x+3) Find f'(x) v'(x) = Use the prouduct fourmula and find f'(x) f'(x) = u(x).v'(x)+v(x).u¹(x)

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 product rule to find the derivative of each function
a. f(x) = (3x² + 2)(2x−1)
u(x)=3x²+2
u'(x) =
Find
v(x)=2x-1
b. f (x) = (5x² − 1)(4x+3)
Find f'(x)
v'(x) =
Use the prouduct fourmula and find f'(x)
f'(x)= u(x).v'(x)+v(x)⋅u'(x)
Transcribed Image Text:Use the product rule to find the derivative of each function a. f(x) = (3x² + 2)(2x−1) u(x)=3x²+2 u'(x) = Find v(x)=2x-1 b. f (x) = (5x² − 1)(4x+3) Find f'(x) v'(x) = Use the prouduct fourmula and find f'(x) f'(x)= u(x).v'(x)+v(x)⋅u'(x)
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