Math, asked by NOOBSCIENCESTUDENT, 1 year ago

differentiate ((x) ^x) ^x

NOOBSCIENCESTUDENT: easy someone ask me this question for 50 points I will answer lol

Answers

Answered by chirag04

Step-by-step explanation:

Attachments:

NOOBSCIENCESTUDENT: lol i cannot understand

NOOBSCIENCESTUDENT: whats the answer?

NOOBSCIENCESTUDENT: I got. (x^x^x)(x^x)[1/x + log x (1 + log x)]

NOOBSCIENCESTUDENT: and Ik that this is correct becUse I have checked the ans. of the question behind the book

chirag04: never mind

chirag04: by the way gud question

NOOBSCIENCESTUDENT: thanks :)

NOOBSCIENCESTUDENT: there are two more questions in my feed would you like 2 solve they are unanswered ?

chirag04: sure

NOOBSCIENCESTUDENT: u want me re post or u will go n check my profile?

Answered by shreyasi

(x^x)^x=y

(x^(x^2))=y

taking log both the sides we get

lny=(x^2)lnx

diff. w.r.t. x both the sides

1/y dy/dx =2x(lnx)+(x^2)(1/x)

dy/dx =y(2x(lnx)+x)=(x)(x^(x^2))(2lnx+1)

P.S.:i've not seen the answer yet so this might be wrong..

NOOBSCIENCESTUDENT: hard to read lol wait lemme check

NOOBSCIENCESTUDENT: it's wrong

NOOBSCIENCESTUDENT: want solution?

shreyasi: yes...

shreyasi: absolutely

NOOBSCIENCESTUDENT: take x^x = u and solve

NOOBSCIENCESTUDENT: wait lemme see where I wrote it

NOOBSCIENCESTUDENT: can u post same question ??

NOOBSCIENCESTUDENT: or just post anything

NOOBSCIENCESTUDENT: I will send pic

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