xln(x)-x+1=0

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This little natural #logarithmic exercise will brighten your day. We'll use a fantastic strategy to solve (xln(x)-x+1=0), and the results will be shocking!
#math_and_physics @Math & Physics

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Thank you for these great videos, this method only works for this equation but it's not usable all the time that's because you have f(x)=0 then you find x for f'(x)=0 (so you only find x of the horizontal tangente on the function f(x) )
For f(x)= xlnx-x+1(the video case) the only minimum of f(x) is for f(x)= 0 .that's why it works here
To make sure you can try on
lnx-x+3=0
F'(x)=d0/dx
->1/x -1=0
->X=1
Replace 1 in f(x)-> f(1)=ln1-1+3=2#0
Finally thank you so much for your time ❤️

alihamdoun

Will u do a video about logarithm and exponential function?

mhmddarwish

If f(x)=g(x) for some x, then how can you say that for the same x, f'(x)=g'(x)?
Let's say i want to solve x^2=5x-6 (Obviously x=2, 3), then if we differentiate both sides, gives 2x=5 or x=5/2 which is incorrect.

faisalriaz

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