Question

How do you find the derivative for `x(lnx)^2`?

Answer 1

Use product rule in conjunction with the chain rule.
Us power rule to differentiate `(lnx)^2`

`dy/dx=(d/dx(x))(lnx)^2+x(d/dx((lnx)^2))`

`dy/dx=(lnx)^2+x[2(lnx)(1/x)]`

`dy/dx=(lnx)^2+2lnx`