Question

what do I get if I defferentiate xlnxlnx?

Answer 1

\[\log^2(x)+2 \log(x) \]

Answer 2

it is in ln: ln(lny)=xlnxlnx

Answer 3

Is the following the expression you intended?\[x \log (x) \log (x) \]

Answer 4

xln(x)ln(x)

Answer 5

log is used here as the natural logarithm. So the answer is:\[\ln ^2(x)+2 \ln (x) \]

Answer 6

ln(y)=(x)^xln(x), I want to see how it's defferentiated please, Robtobey!

Answer 7

Product rule. The equation you give is really just xln^2(x). Do the product rule with lnx and x

Answer 8

Yes, exactly. my problem is defferentiating ln^2(x). That is 1(ln^2(x) + ?

Answer 9

d/dx of ln^2(x)= 2lnx*(1/x)

Answer 10

Thanks

Answer 11

I need to integrate (arctg\[\sqrt{x}\] using integration by parts

Answer 12

@satiranks
A solution for the above integration is attached.