Differenciate twice or integrate twice?

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The discussion centers on the confusion regarding the notation f''(x) and whether it indicates differentiation or integration. It clarifies that f''(x) means to differentiate the function twice, not to integrate. The participants emphasize the importance of using the chain rule for differentiating y = (ln x)^2. They suggest substituting t = ln x to simplify the differentiation process. Overall, the focus is on understanding the correct application of differentiation techniques.
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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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