/sci/ - Science & Math

>>15998808
>>15998815
sorry i meant i am trying to get the derivative of
y = x^[(logx)^2 - 2]
and i start by taking the ln of both sides to get
ln(y) = ln(x^[(logx)^2 - 2])
and i take the derivative of both sides

if i pretend that the question was actually
y = ln(x^[(logx)^2 - 2])
then when i check the derivative of this using mathmatica, my calculation up to this point matches the answer it gives

but when i check the derivative of
y = x^[(logx)^2 - 2]
on mathematica, my solution which i get by multiplying y by the derivative of
ln(x^[(logx)^2 - 2])
doesnt match the answer mathematica gives

so i don't get what is wrong since it should be that
1/y dy/dx = d/dx ( ln(x^[(logx)^2 - 2]) )
so then i should get
dy/dx = y * d/dx ( ln(x^[(logx)^2 - 2]) )