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21. Find the second derivative of: a. f(x) = ex² b. f(x) = ln (x²+4)

21. Find the second derivative of: a. f(x) = ex² b. f(x) = ln (x²+4)

Calculus: Early Transcendentals
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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Question
21. Find the second derivative of: a. f(x) = ex² b. f (x) = In (3+2) Use logarithmic differentiation to find the derivative of: 22. f(x) = (2x + 3)²(x − 5x²) = (4x²) 23. g(x) = -3x (³√/2x-5) (6−5x)4 e-3x Homework Section 4.3 5
Transcribed Image Text:21. Find the second derivative of: a. f(x) = ex² b. f (x) = In (3+2) Use logarithmic differentiation to find the derivative of: 22. f(x) = (2x + 3)²(x − 5x²) = (4x²) 23. g(x) = -3x (³√/2x-5) (6−5x)4 e-3x Homework Section 4.3 5
3 (x3)(4x2-5x+1)² 24. f(x) = x²-7x Homework Section 4.3 25. Find an equation of the tangent line to the graph of f(x) = 3x + 2e* - 7 at the point on the graph where x = 0. 6
Transcribed Image Text:3 (x3)(4x2-5x+1)² 24. f(x) = x²-7x Homework Section 4.3 25. Find an equation of the tangent line to the graph of f(x) = 3x + 2e* - 7 at the point on the graph where x = 0. 6
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