Differenciate twice or integrate twice?

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Homework Help Overview

The discussion revolves around the differentiation of the function f(x) = (ln x)^2, specifically focusing on the interpretation of f''(x) and the process of differentiating the function twice.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the meaning of f''(x) and confirm that it refers to differentiating the function twice. There is mention of applying the chain rule in the differentiation process.

Discussion Status

Some participants have provided guidance on the differentiation process, specifically suggesting the use of the chain rule. Multiple interpretations of how to approach the differentiation are being explored.

Contextual Notes

The original poster expresses confusion about the differentiation process and the meaning of f''. There is an indication of a skipped part in the original question, which may affect the clarity of the discussion.

jinx007
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I am confuse a question state f(x) = (ln x )^2 ... i skip a part..

show that f'' (x) = 0 (not concern with the answer but what does f'' means is it that i have to differenciate twice or integrate twice..??)

my second question: how to differenciate y = (ln x )^2
 
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It means differentiate twice.

To actually do it, think about using the chain rule...
 


danago said:
It means differentiate twice.

To actually do it, think about using the chain rule...


chain rule that is dy/dx = dy/dt x dt/dx of course i must apply it
 


Yes, and with y = (ln x )^2 , t= ln x so you want (d(t^2)/dt)(d ln(x)dx)
 

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