Question

Differentiate the function f(x) = xlnx-x

Answer 1

Is it the product rule?

Answer 2

\[f'(x)= x \frac{ 1 }{ x } + \ln(x) + 1 -1\]

Answer 3

then \[\frac{ x }{ x } + \ln(x) + 1 -1\]

Answer 4

\[f'(x) = 1 + \ln(x) *1 -1\]

Answer 5

so \[f'(x) = lnx\] ?

Answer 6

Right answer, wrong process

for first and second step, I'm sure you mean \(\ln(x)\cdot1\), not \(\ln(x)+1\)