Is This Solution Correct for f(x)=(x²)(ln x)(cos x)?

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SUMMARY

The discussion centers on the function f(x) = (x²)(ln x)(cos x) and the confusion surrounding the term "solve" in relation to this function. Participants clarify that the appropriate action is to find the derivative of the function rather than solving it. The derivative can be computed using the product rule, specifically the formula d(uv)/dx = v(du/dx) + u(dv/dx), applied iteratively for three functions. The conversation emphasizes the importance of clearly stating mathematical questions to facilitate accurate assistance.

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teng125
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does anybody knows how to solve this:f(x)=(x^2) (ln x) (cos x) ??

i would like to know the final answer is it = exp (2/x + 1/x ln x - tan x)??
 
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We can't tell you the answer if you won't tell us the question! I don't know what you mean by "solve f(x)= ". Since you titled this "derivatives" I might guess you mean "find the derivative of f(x)" but in that case your "answer" makes no sense at all. I can only guess that you means something else entirely.

Please state the question clearly and don't just show an answer, show us how you got it.
 
ya,that's the question...myanswer it wrong.May i know how to do it??
 
I'll repeat:Please state the question clearly and don't just show an answer, show us how you got it.

I really doubt that you have a homework problem that says, word for word, "solve f(x)=(x^2) (ln x) (cos x)". It makes no sense to say "solve" a function.

Now, how did you attempt to do this problem?
 
Do you know that d(uv)/dx = v(du/dx) + u(dv/dx)
Now here you have three functions. Can you take two functions as one and then apply the above rule again i.e. apply it two times.
 
Have they move teaching about derivatives, to precalculus courses? :confused:
 

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