Find the derivative of the function.

y=x^2lnx^2

Correct answer: y = 2x (㏑x² + 1)

Step-by-step explanation:

We will use the product rule for this derivation

Let be x² = U and ㏑x² = V

Product rule is:

dy = dU · V + U · dV

y = 2x · ㏑x² + x² · 1/x² · 2x = 2x · ㏑x² + 2x = 2x (㏑x² + 1)

y = 2x (㏑x² + 1)

God is with you!