4. Find a formula for the nth derivative f(n)(x) of f(x) = ln(1+3x). Show some work computing the first few derivatives and then explain your reasoning for extrapolating to the general formula. You may use the factorial notation n! = n(n-1)(n-2) (2) (1) (for example 6!6-5-4-3-2-1 =720).
4. Find a formula for the nth derivative f(n)(x) of f(x) = ln(1+3x). Show some work computing the first few derivatives and then explain your reasoning for extrapolating to the general formula. You may use the factorial notation n! = n(n-1)(n-2) (2) (1) (for example 6!6-5-4-3-2-1 =720).
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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