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))²X

Note: We will be solving part (b) only as asked.Given that is a function defined for with and .We…

Answered: (In(x))² X Let f(x) be a function…

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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(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.