implicit differentiation | beauty of maths

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[XBGamerX]

ah yes the famous x^x that occasionally appears on textbooks

heres another way to solve it. (using the other symbol cause its hard to type math on youtube)
(x^x)'
(e^xlnx)'
e^xlnx (xlnx)'
e^xlnx (lnx + 1)
x^x (lnx + 1)

[mirzatayerejepbayev]

How to solve the integral of this function?

[bluebow]

Can log be used instead of Natural log?