Question

Find dy/dx if y=xlogx-x​

Answer 1

Step-by-step explanation:

1) xx (1 + log x)

2) log (ex)

3) log (e/x)

4) log (x/e)

Solution:

Given y = log xx

= x log x

Differentiate w.r.t.x

dy/dx = x(1/x) + log x

= 1 + log x

= log e + log x

= log (ex)

Hence option (2) is the answer