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Let f(x) be a function defined for x> 0 with (In(x))² f(e) = 6 and f'(x) = = X a. Write the equation of the tangent line of f(x) at the point x-e. b. Is f(x) concave up or down in the interval (1,4)? Please justify your answer. c. Find f(x) by using anti-differentiation.

Let f(x) be a function defined for x> 0 with (In(x))² f(e) = 6 and f'(x) = = X a. Write the equation of the tangent line of f(x) at the point x-e. b. Is f(x) concave up or down in the interval (1,4)? Please justify your answer. c. Find f(x) by using anti-differentiation.

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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(No Technology) Let f(x) be a function defined for x> 0 with (In(x))² f(e) = 6 and f'(x)= X a. Write the equation of the tangent line of f(x) at the point x=e. b. Is f(x) concave up or down in the interval (1,4)? Please justify your answer. c. Find f(x) by using anti-differentiation.
Transcribed Image Text:(No Technology) Let f(x) be a function defined for x> 0 with (In(x))² f(e) = 6 and f'(x)= X a. Write the equation of the tangent line of f(x) at the point x=e. b. Is f(x) concave up or down in the interval (1,4)? Please justify your answer. c. Find f(x) by using anti-differentiation.
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