Question

F(x)=xln(x)-x Where x>0, Find F''(x)

Answer 1

do u need explanation or just answer?

Answer 2

first for derivative of xlnx
you use the product rule

let u=x v=lnx
u'=1 v'=1/x
and derivative of x=1
so
\[f'(x)=u'v+v'u\]
\[f'(x)=lnx+1 -1\]
\[f''(x)=\frac{1}{x}\]

Answer 3

it should be\[f'(x) = u'v+v'u -1\]