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just need to explain in detail C why 2ln (x) -3 is minus +. What are the criteria for -, +, and the criteria for

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just need to explain in detail C why 2ln (x) -3 is minus +. What are the criteria for -, +, and the criteria for judging overestimate, underestimate.

image text in transcribed
3) The function f(x) = " _ In(* has derivatives X f' ( x ) = - 1 - In(x) f" ( x ) _ 2In (x) - 3 ( 1" ( x ) = 11 - 6 In(x) x2 x3 x4 a) (4 points) Find L(x) the linear approximation function for f at a = e- f (ez ) = Inlet) = 2 = 202 f le z ) = 1 - Inlez ) ( e " ) =-21 LCx ) = flan ( x- a )+ fran L( x ) = - e' ( x -e' ) + 202 b) (3 points) Estimate the value of f(e2 + ) using your answer from part a) above. (Give the exact value of the estimate.) flet f ) = L(e: } ) = - e ( elf - e ' ) + de? = 2 ez - bet c) (4 points) Was your estimate in part b) an overestimate or an underestimate? Explain. 2 (mix ) - 3 + On the interval ( ez, et ; ) + + f is Concave Up, So Ller + ; ) e ex 's is an Under estimate 0 + 2 ln ( x ) - 3 = 0 ency ) = 3 X = esh

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