Find the derivative of the function. a. y = ln(x² + 3x) b. Use the Product Rule to Find the derivative. y = e²* . ln(2x+1) u(x) = e²x u'(x) = v'(x) = Use the Proudct Rule to Find the derivative dy dx = v(x) = ln(2x+1) c. Use the Product Rule to Find the derivative. y = x². ln(2x)

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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Find the derivative of the function.
a. y = ln(x² + 3x)
b.
Use the Product Rule to Find the derivative.
y = e²x. ln(2x+1)
u(x) = ²x
u'(x) =
Use the Proudct Rule to Find the derivative
dy
dx
v(x) = ln(2x+1)
v'(x) =
c. Use the Product Rule to Find the derivative.
y = x². ln(2x)
Transcribed Image Text:Find the derivative of the function. a. y = ln(x² + 3x) b. Use the Product Rule to Find the derivative. y = e²x. ln(2x+1) u(x) = ²x u'(x) = Use the Proudct Rule to Find the derivative dy dx v(x) = ln(2x+1) v'(x) = c. Use the Product Rule to Find the derivative. y = x². ln(2x)
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