Let g(x) = xe 4x (a) Evaluate the following derivatives of g(x). () g'(x) = (ii) g" (x) = (iii) g(3)(x) = (b) Find a formula for the nth derivative of f (x). g(n) (x) = 4x + e-42 4x

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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Let g(x) = xe 4x
(a) Evaluate the following derivatives of g(x).
() g'(x) =
(ii) g" (x) =
(iii) g(3)(x) =
(b) Find a formula for the nth derivative of f (x).
g(n) (x) =
4x
+
e-42
4x
Transcribed Image Text:Let g(x) = xe 4x (a) Evaluate the following derivatives of g(x). () g'(x) = (ii) g" (x) = (iii) g(3)(x) = (b) Find a formula for the nth derivative of f (x). g(n) (x) = 4x + e-42 4x
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