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(In(x))² X Let f(x) be a function defined for x> 0 with f(e) = 6 and f'(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.

(In(x))² X Let f(x) be a function defined for x> 0 with f(e) = 6 and f'(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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I only need part (b) done. Thank you so much!!
(No Technology) Let f(x) be a function defined for x> 0 with f(e) = 6 and f'(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. (In(x))² X
Transcribed Image Text:(No Technology) Let f(x) be a function defined for x> 0 with f(e) = 6 and f'(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. (In(x))² X
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