Question

Differentiate

Answer 1

f(x)= x^2 In x
= 2x Inx + x^2 (1)
= x(2 Inx+1)

Answer 2

Is it right??

Answer 3

not quite you have used the product rule correctly by

if f(x) = ln(x) then f'(x) = 1/x

so in the 2nd part of the dervative you should have \[x^2 \times \frac{1}{x}\]

now simplify this

Answer 4

Interestingly enough, it's like that is what he did...but wrote it incorrectly up there

Because yes the second part becomes just x

And via factoring out the 'x' at the end you arrive at the result originally written above