**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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Answered: . If f is the function given by f (x) =…

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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. 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)