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derivative brain teaser

Question

let a = ln(ln(x))/(ln(x)

let b= xa

let y = eb

find dy/dx

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2 answers to this question

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Looks like ...

Spoiler

dy/dx = 1

Spoiler

b = xa = ea ln x = eln ln x = ln x
y = eb = eln x = x

 

 

Edited by bonanova
Further simplification

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