Let g(x) = xe-4x (a) Evaluate the following derivatives of g(x). (0) g'(x) = (ii) g"(x) = (iii) g(³)(x) = (b) Find a formula for the nth derivative of f(x). g(n) (x) = e + xe-42.

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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-4x
Let g(x) = xe
(a) Evaluate the following derivatives of g(x).
(0) g'(x) =
(ii) g" (x) =
(iii) g(³) (x) =
(b) Find a formula for the nth derivative of f(x).
g(n)(x) =
-4x +
Te-4z.
Transcribed Image Text:-4x Let g(x) = xe (a) Evaluate the following derivatives of g(x). (0) g'(x) = (ii) g" (x) = (iii) g(³) (x) = (b) Find a formula for the nth derivative of f(x). g(n)(x) = -4x + Te-4z.
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