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. If f is the function given by f (x) = e*³, which of the following is an equation of the line tangent to the graph of f at the point (3 In 4, 4) ? 4 (A) y – 4 = 3(x – 3 In 4) (B) у — 4 %3D 4(х — 3 In 4) (С) у — 4 %3D12 (х — 3 In 4) (D) y – 3 ln 4 = 4(x - 4)

. If f is the function given by f (x) = e*³, which of the following is an equation of the line tangent to the graph of f at the point (3 In 4, 4) ? 4 (A) y – 4 = 3(x – 3 In 4) (B) у — 4 %3D 4(х — 3 In 4) (С) у — 4 %3D12 (х — 3 In 4) (D) y – 3 ln 4 = 4(x - 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 8:** If \( f \) is the function given by \( f(x) = e^{x/3} \), which of the following is an equation of the line tangent to the graph of \( f \) at the point \( (3 \ln 4, 4) \)? **Options:** (A) \( y - 4 = \frac{4}{3}(x - 3 \ln 4) \) (B) \( y - 4 = 4(x - 3 \ln 4) \) (C) \( y - 4 = 12(x - 3 \ln 4) \) (D) \( y - 3 \ln 4 = 4(x - 4) \)
Transcribed Image Text:**Question 8:** If \( f \) is the function given by \( f(x) = e^{x/3} \), which of the following is an equation of the line tangent to the graph of \( f \) at the point \( (3 \ln 4, 4) \)? **Options:** (A) \( y - 4 = \frac{4}{3}(x - 3 \ln 4) \) (B) \( y - 4 = 4(x - 3 \ln 4) \) (C) \( y - 4 = 12(x - 3 \ln 4) \) (D) \( y - 3 \ln 4 = 4(x - 4) \)
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